Perimeter, Area, and Volume Notes

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Transcript Perimeter, Area, and Volume Notes

The measure of the distance around a closed figure.

Think of perimeter like a fence around a yard.

On crime shows you often hear law enforcement say, “We need to set up a perimeter.”

How do you find the perimeter of a figure?

To find the perimeter of any closed figure simply add the length of each side of the figure together.

2 cm 2 cm Perimeter = s 1 + s 2 + s 3 P = 2 cm + 2 cm + 3 cm P = 7 cm 3 cm

write the

FORMULA

you are using

SUBSTITUTE

in the values

SOLVE

the equation

LABEL

your answer

The amount of surface inside a closed figure.

Think of area like the amount of carpet you would need in a room

Parallelograms

What polygons are parallelograms?

1) Square 2) Rectangle 3) Rhombus 4) Parallelogram

Parallelograms

• Do all parallelograms have the same formula for area?

• We know that squares and rectangles use the formula

Area = base • height

• Let’s use our GeoBoards to see if the area of a rhombus or parallelogram is also base • height

How Do You Find the Area of a Parallelogram?

To find the area of any parallelogram use the formula

Area = base ● height

and solve using the dimensions given.

3 in 5 in REMEMBER F.S.S.L!!!

Area = bh A = 5 in • 3 in A = 15 in 2

How Do You Find the Area of a Parallelogram?

To find the area of any parallelogram use the formula

Area = base ● height

and solve using the dimensions given.

6 in 5 in 4 in REMEMBER F.S.S.L!!!

Area = bh A = 6 in • 4 in A = 24 in 2

Triangles

•We can use the formula for a parallelogram to help us find the area of any triangle.

•Let’s use our GeoBoards to help us determine this formula.

How do you find the area of a triangle?

To find the area of a triangle use the formula

Area = ½ base ● height

and solve using the dimensions given.

REMEMBER F.S.S.L!!!

A = ½bh 6 ft 10 ft A= ½ • 8ft • 10ft 8 ft A = 4ft • 10ft A = 40 ft 2

16 cm 8 cm 10 cm

How do you find the area of a trapezoid?

base 2 base 1 base 2

The amount of space in a 3-D object.

Think of volume like the amount of liquid you could pour into a cup

How do you find the volume of a rectangular prism?

To find the volume of a rectangular prism use the formula

Volume = length ● width ● height

and solve using the dimensions given .

REMEMBER F.S.S.L!!!

Volume = l wh 4 in V = 6 in • 2 in • 4 in V = 48 in 3 6 in 2 in

Depending on the measurement you are solving for (area, volume, or perimeter) your label will change.

Perimeter = unit Area = unit 2 Volume = unit 3

Find the perimeter & area of… 15 cm 5 cm

Find the perimeter & area of… 15 cm 5 cm 4 cm

Find the perimeter & area of… 12 cm 12 cm 12 cm

Find the volume of…

3 cm 3 cm 6 cm

Find the perimeter & area of… 13 cm 5 cm 12 cm

Construct the following shape…

mm and an area of 32 mm 2 . What are the dimensions of my rectangle?

Construct the following shape…

and an area of 15 ft 2 . What are the dimensions of my triangle?

Draw this triangle.

Find the area of the gold region…

3m 8m 6m 6m

9in

Find the area of the green region…

4in 12in 7in

10mm

Find the area of the red region…

12mm 6mm 3mm

Find the area of the blueish region…