Transcript Warm-Up Exercises Lesson 10.7, For use with pages 550-558 Copy: 6.G.2 Apply the formula V = l w h to find volumes of.

Warm-Up Exercises
Lesson 10.7, For use with pages 550-558
Copy:
6.G.2 Apply the formula V = l w h to find volumes of rectangular prisms.
1. Find the surface area of a rectangular prism that is
12 inches by 3 inches by 6 inches.
ANSWER 252in.2
2. Find the surface area of a rectangular prism that is
10 meters by 4 meters by 10 meters. ANSWER
360 m2
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads
A manufacturer stacks cube-shaped notepads and
wraps them in plastic as shown in Example 1. The
manufacturer then puts them into a rectangular box for
shipping. How many notepads will fit into each box?
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads
A manufacturer stacks cube-shaped notepads and
wraps them in plastic as shown in Example 1. The
manufacturer then puts them into a rectangular box for
shipping. How many notepads will fit into each box?
To find the total number of
notepads that will fit in one box,
multiply the number of notepads in
one layer by the number of layers.
The notepads are stacked in 2
layers. Each layer is a rectangle
that is 4 notepads long and 3
notepads wide.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads in one
layer
Number of
layers
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads in one
layer
Number of
layers
=
Number of
notepads
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads in one
layer
Number of
layers
4
3
=
Number of
notepads
2
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads in one
layer
Number of
layers
4
3
=
Number of
notepads
2 = 24
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up1Exercises
EXAMPLE
Counting Cubes in a Stack
Notepads in one
layer
Number of
layers
4
3
=
Number of
notepads
2 = 24
ANSWER
The manufacturer can fit 24 notepads
in one box. Check You can count the
number of notepads in the front layer,
then multiply that number by the
number of layers going front to back.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
KEY
CONCEPT
Finding the Volume of a Prism
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V =l w h
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V =l w h
Write the volume formula.
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V =l w h
= 8 ( 6.2 )(3.9)
Write the volume formula.
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V =l w h
= 8 ( 6.2 )(3.9)
Write the volume formula.
Substitute for l, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V =l w h
= 8 ( 6.2 )(3.9)
= 193.44
Write the volume formula.
Substitute for l, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up2Exercises
EXAMPLE
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V =l w h
= 8 ( 6.2 )(3.9)
= 193.44
Write the volume formula.
Substitute for l, w, and h.
Simplify.
ANSWER
The volume is 193.44 cubic inches.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
1. What If? In Example 1, suppose a box can hold one
more horizontal layer of notepads. How many notepads
would fit in a box?
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
1. What If? In Example 1, suppose a box can hold one
more horizontal layer of notepads. How many notepads
would fit in a box?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
1. What If? In Example 1, suppose a box can hold one
more horizontal layer of notepads. How many notepads
would fit in a box?
SOLUTION
To find the total number of notepads that will fit in one
box, multiply the number of notepads in one layer by
the number of layers. The notepads are stacked in 3
layers. Each layer is a rectangle that is 4 notepads long
and 3 notepads wide.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
Notepads in one
layer
for Examples 1 and 2
Number of
layers
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
Notepads in one
layer
for Examples 1 and 2
Number of
layers
=
Number of
notepads
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
Notepads in one
layer
for Examples 1 and 2
Number of
layers
4
3
=
Number of
notepads
3
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
Notepads in one
layer
for Examples 1 and 2
Number of
layers
4
3
=
Number of
notepads
3 = 36
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
Notepads in one
layer
for Examples 1 and 2
Number of
layers
4
3
=
Number of
notepads
3 = 36
ANSWER
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
Notepads in one
layer
for Examples 1 and 2
Number of
layers
4
3
=
Number of
notepads
3 = 36
ANSWER
The manufacturer can fit 36 notepads in one box..
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 5 ( 2 )( 4 )
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 5 ( 2 )( 4 )
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 5 ( 2 )( 4 )
= 40
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 5 ( 2 )( 4 )
= 40
Simplify.
ANSWER
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 5 ( 2 )( 4 )
= 40
Simplify.
ANSWER
The volume is 40 cubic meters.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 12.5 ( 6 ) ( 6 )
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 12.5 ( 6 ) ( 6 )
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 12.5 ( 6 ) ( 6 )
= 450
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 12.5 ( 6 ) ( 6 )
= 450
Simplify.
ANSWER
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the
given dimensions.
3. 12.5 ft. by 6 ft. by 6 ft.
Write the volume formula.
V = lwh
Substitute for l, w, and h.
= 12.5 ( 6 ) ( 6 )
= 450
Simplify.
ANSWER
The volume is 450 ft3.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
21,600 = l 360
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
21,600 = l 360
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
21,600 = l 360
l = 21,600
Simplify.
360 Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
21,600 = l 360
l = 21,600
Simplify.
360 Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30
meters wide and 12 meters deep.Its volume is 21,600
cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
21,600 = l 30 12
Substitute for V, w, and h.
21,600 = l 360
l = 21,600
l = 60
Simplify.
360 Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up3Exercises
EXAMPLE
Using the Formula for Volume
ANSWER
The length of the pool is 60 meters.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
3,750 = l 75
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
3,750 = l 75
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
3,750 = l 75
l = 3,750
Simplify.
75 Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
3,750 = l 75
l = 3,750
Simplify.
75 Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic
meters. The pool is 25 meters wide and 3 meters deep.
How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
3,750 = l 25 3
Substitute for V, w, and h.
3,750 = l 75
l = 3,750
l =50
Simplify.
75 Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
ANSWER
The length of the pool is 50 meters.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 =
4 2 h
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
16 = 4 2 h
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
16 = 4 2 h
Substitute for V, w, and h.
16 = 8 h
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
16 = 4 2 h
Substitute for V, w, and h.
16 = 8 h
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
16 = 4 2 h
Substitute for V, w, and h.
Simplify.
16 = 8 h
h = 16
8
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
16 = 4 2 h
Substitute for V, w, and h.
Simplify.
16 = 8 h
h = 16
8
Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub
is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
16 = 4 2 h
Substitute for V, w, and h.
Simplify.
16 = 8 h
h = 16
8
h=2
Write a related division equation
Simplify.
ANSWER
The depth of the bathtub is 2 feet.
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
SKILL
PRACTICE
for Lesson 10.7
8,000 cm³
6,851 in.³
330 in³
0.45 km³
323.4375 mm³
124.3125 yd³
To get the volume, you multiply the length, width, and height, not add them.
The correct answer is 420 ft³
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
SKILL
PRACTICE
h = 2.5 ft
for Lesson 10.7
w = 2 cm
l = 20 m
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
Exercises
EXIT PASS
For use after Lesson 10.7
Find the volume of the prism.
1.
2.
3
31,320 cm
ANSWER 6750 m3
ANSWER
3. Find the volume of a rectangular prism that
3
7
is feet by 8 feet by 3 feet.
ANSWER 168 ft
On a scale of 1 – 5, rate your understanding of the Learning Target:
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up Exercises
ANIMATED
MATH
for Lesson 10.7
Apply the formula V = l w h to find volumes of rectangular prisms.
Warm-Up
LESSONExercises
QUIZ
for Lesson 10.7
Complete the lesson quiz.
Link http://www.classzone.com/etest/viewTestPractice.htm?testId=3588
Show me your results when you are finished.
Apply the formula V = l w h to find volumes of rectangular prisms.