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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?

**About 18 cups**

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