Pre-Algebra Chapter 12

Sketching and Classifying Solids

100

What 3-dimensional shape is a baseball?

Sphere

200

What 3 dimensional shape is a can of soup?

Cylinder

300

What 3 dimensional shape is a Kleenex box with a rectangular bottom?

Rectangular Prism

400

How many faces, edges and vertices does a heptagonal prism have?

9 faces

21 edges

14 vertices

500

Draw the net of a cylinder.

Teacher draw.

Surface Area of Rectangular Prisms

100

Find the surface area of a cube with a side of 3 inches.

54 in²

200

Find the surface area of a rectangular prism with side lengths of 8 in, 6 in, 3 in.

180 in²

300

What is the surface area of a rectangular prism that is 8 inches long, 4 inches wide, and 12 inches high?

a) 176 in²

b) 332 in²

c) 352 in²

d) 384 in²

C

400

Find the surface area for a rectangular prism with length of 15 ft, 9 ft, and 96 in.

654 ft²

94, 176 in²

500

The surface area of a rectangular prism is 1194 square inches.  The height is 12 inches. The length is 27 inches.  Find the width.

7 in.

Volume of Rectangular Prisms

100

Find the volume of a rectangular prism with sides of 3m, 5m, 4m.

60 m³

200

Find the volume of a cube with a side length of 4in.

64 in³

300

Which of the following items would likely have a volume of 300 cubic inches?

a) Sugar cube

b) Cereal box

c) Microwave

d) Refrigerator

B

400

Find the height of a rectangular prism if the volume is 400 ft³, the length is 10 ft, and the width is 5 ft.

8 ft

500

A rectangular prism has a volume of 432 cubic feet.  Its bases are squares with side lengths of 6 feet.  What is its height?

12 ft

Surface Area of Cylinders

100

Draw a net of a cylinder.

Teacher draws.

200

Find the surface area for a cylinder with a radius of 9 in and a height of 6 in.

848 in²

300

Find the surface area of a cylinder with a diameter of 5ft and a height of 6 ft.

133 ft²

400

Find the height of a cylinder with a radius of 25 cm and a surface area of 4867 cm².

6 cm

500

The surface area of a cylindrical keychain flashlight is about 1608 mm² and its diameter is 8 mm. What is the height rounded to the nearest whole number?

60 mm

Volume of Cylinders

100

What is the volume of a cylinder with a radius of 5m and a height of 4m?

314 m³

200

What is the volume of a cylinder with a diameter of 14mm and a height of 11mm?

1690 mm³

300

What is the volume of a cylinder with a radius of 96 in and a height of 8 ft? (in cubic feet)

1610 ft³

400

Find the height of the cylinder if the volume is 5024 in³ and the diameter is 16 in.

25 in.

500

Find the radius of a cylinder if the volume is 25.12 cm³  and the height is 8 cm.

1 cm