Transcript Volumes of Prisms and Cylinders LESSON 11-4 Additional Examples Find the volume of the prism below. The area of the base B = V =

Volumes of Prisms and Cylinders
LESSON 11-4
Additional Examples
Find the volume of the prism below.
The area of the base B =
V = Bh
w = 3  5 = 15.
Use the formula for volume.
= 15 • 5
Substitute 15 for B and 5 for h.
= 75
Simplify.
The volume of the rectangular prism is 75 in.3.
Quick Check
HELP
GEOMETRY
Volumes of Prisms and Cylinders
LESSON 11-4
Additional Examples
Find the volume of the prism below.
The prism is a right triangular prism with triangular bases.
The base of the triangular prism is a right triangle where one leg is the
base and the other leg is the altitude.
Use the Pythagorean Theorem to calculate the length of the other leg.
292 – 202 =
HELP
841  400 =
441  21
GEOMETRY
Volumes of Prisms and Cylinders
LESSON 11-4
Additional Examples
(continued)
1
1
The area B of the base is 2 bh = 2 (20)(21) = 210. Use the area of the
base to find the volume of the prism.
V = Bh
Use the formula for the volume of a prism.
= 210 • 40
Substitute.
= 8400
Simplify.
The volume of the triangular prism is 8400 m3.
Quick Check
HELP
GEOMETRY
Volumes of Prisms and Cylinders
LESSON 11-4
Additional Examples
Find the volume of the cylinder below. Leave your answer in
terms of .
The formula for the volume of a cylinder is V =
shows h and d, but you must find r.
r 2h. The diagram
1
r = 2d=8
V=
=
r 2h
• 82 • 9
= 576
Use the formula for the volume of a cylinder.
Substitute.
Simplify.
The volume of the cylinder is 576
HELP
ft3.
Quick Check
GEOMETRY
Volumes of Prisms and Cylinders
LESSON 11-4
Additional Examples
Find the volume of the composite space figure.
You can use three rectangular prisms to find the volume.
Each prism’s volume can be found using the formula V = Bh.
HELP
GEOMETRY
Volumes of Prisms and Cylinders
LESSON 11-4
Additional Examples
(continued)
Volume of prism I = Bh = (14 • 4) • 25 = 1400
Volume of prism II = Bh = (6 • 4) • 25 = 600
Volume of prism III = Bh = (6 • 4) • 25 = 600
Sum of the volumes = 1400 + 600 + 600 = 2600
The volume of the composite space figure is 2600 cm3.
Quick Check
HELP
GEOMETRY