# Rectangular pyramid V = 1/3 B h 214.8 m³ 314.1 in³

Name___________________________________________________Date________________________Per._______ 1) 2) 3)

Name Rectangular prism cylinder Triangular prism Volume Formula V = l • w • h V = ∏r²h V = l • w • h 2 Example 1

17.3 in 8 in 2 in 20 in

Example 2

18.4 in 3.5 in

276.8 in³

12 ft 13 ft

1,288 in³

10.5 m

5,878.1 ft³

12 cm 9 cm

692.4 m³

9.2 in 8 m 5)

Cone V = 1/3 ∏r²h

7 cm

378 cm³ 763.6 ft³

11.4 ft 12 in 10 in

552 in³ 78.2 cm³

8.3cm

8 ft 6 cm

6)

Name Triangular pyramid Volume Formula V = 1/3 B h Example 1 75.8 in³

13 in

Example 2 229.5 cm³

18 cm 7)

Rectangular pyramid V = 1/3 B h

5 in

214.8 m³

9 m 7 in 8.5 cm

314.1 in³

9 cm 19 in 4 m 2 in 8) A party hat like the one below is going to be filled with candy. If one cup is about 14.4 cubic inches, about how many cups of candy will fit in the party hat?

10 in 5 in = radius 9) A rectangular pyramid has a length of 12 cm, a width of 7 cm, and a height of 8 cm. Explain the effect on the volume if each dimension were doubled.

The volume is increased from 224 cm³ to 1,792 cm³

17.9 m the prism is 16 in. What is the volume?

512 in³

24.8 in 13) A basketball has a radius of 6inches. What is its volume?

omit

14) One cabinet measures 4 ft. by 3.5 ft by 2.5 ft. Another cabinet measures 3.5 ft by 5 ft by 4ft. Which cabinet has the greater volume?

1 st cabinet = 35 ft³ and 2 nd cabinet = 70 ft³ The second cabinet has a greater volume

15) The area of the base of a triangular prism is 32 in². The height of 10) Which of the following baking pans will hold more cake batter?

16) The volume of the box below is 15 in³.

B the cylinder baking pan holds more cake batter

11) A candle is in the shape of a cylinder. The radius is 5 cm and the height is 10 cm. Find the volume of the candle.

785 cm³

12) A company makes sandboxes that measure 5 ft by 4.5 ft by 2 ft. A customer already has 26 cubic ft. of sand. How much more will she need to buy in order to fill the sandbox completely? Justify your answer.

The customer will need 19 more cubic feet of sand

Which of the following are possible dimensions of the box?

A) 2.5 in. by 1.5 in by 5 in C) 1 in by 3 in by 4 in B) 2 in by 2.5 in by 3 in D) 3 in by 2 in by 3 in