Unit 3-9 Areas & Volumes Name:

Problem Hint Formula 1. Find the area of the rectangle and write down the formula for finding the area of a rectangle.

2. Find the area of the right triangle and write down the formula for finding the area of a right triangle.

3. Find the area of the acute triangle and write down the formula for finding the area of an acute triangle.

4. Find the area of the parallelogram and write down the formula for finding the area of an acute triangle.

Problem Hint Formula 1. Find the area of the trapezoid and write down the formula for finding the area of a rectangle.

1. Find the area and perimeter of each of the following shapes.

Make a Copy 4

8

6

Rotate Copy

Creates a Parallelogram exactly twice the size of the trapezoid 6

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

9 in

6 in

7 in 1

in

3 cm

8 cm

6.93 cm

4 cm

10 cm

5 cm 7 cm 4 cm 8 cm

(1. Continued) Find the area and perimeter of each of the following shapes.

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

4

4 4

5 feet

15 feet

9 fe

et

12 7

18

7 7 4

6

4

15

15 cm

8cm

4cm

3cm

4 cm

2

4 4

5

Assume all curved shapes are semicircles

Assume all curved shapes are semicircles

2. Find the Volume and Surface Area of the following objects.

9 feet 5 feet

8 fe

et

Surface Area = Volume =

Surface Area = Volume =

Surface Area = Volume =

3 cm 14 cm

5 cm

8 cm

10 cm

Surface Area = Volume =

16 feet

7 feet

4 ft 7 feet 11 feet

30° 60°

6 cm

5 cm

(2 - continued) Find the Volume and Surface Area of the following objects.

Surface Area = Volume =

Surface Area = Volume =

10 m

6 m

5 m

3 m 7 m 9 m

15 cm

12 cm

Surface Area = Volume =

Volume =

12 cm

15 c

m

Assume the point shown in the base is the center.

6 in

3. Find the Volumes and Surface Areas.

4 feet 4

feet

6 fe

et

5 feet

8 fe

et

9 fe

et

Surface Area = Volume =

Surface Area = Volume =

Surface Area = Volume =

Surface Area = Volume =

10 cm 8 cm

6 cm

12 c

m

6 cm

3. Find the Volumes and Surface Areas.

Volume =

Volume = Volume =

Volume =

Using a micrometer find the volume of 6 pennies stacked directly on top of each other (which is a cylinder). Show measurements to the nearest hundredth of a millimeter.

9 cm

Using a micrometer find the volume of 6 pennies stacked on top of each other but so that they are slanted. Show

measurements to the nearest hundredth of a millimeter.

4. Optional shapes

Surface Area = Volume =

Surface Area = Volume =

7 cm

6 cm

5 cm

2 cm

2 cm

3 cm

2 cm

4cm

8 cm

** base is a regular hexagon

Surface Area = Volume =

14 cm

8 cm.

10 c

m

6cm 4cm

8 cm

4 cm

6 cm 6 cm

Surface Area = Volume =

5. Find the amount of leather to cover a baseball that has a 20 cm diameter (surface area).

6. A sphere is inscribed in a cube of volume 27 cubic inches. What is the surface area and volume of the sphere?

7. The base of a snowman is made of spherical ball of snow. Given the circumference of the base of the snowman is 157 inches, find the radius of the sphere and then the volume to determine the amount of snow that was needed.

8. If a sphere is cut in half, the remaining portion is called a __________________.

x =

SA = Volume =

Radius = Volume =

20 cm

157 in.