Honors Geometry Companion Book, Volume 2

10.2.3 Volume of Prisms and Cylinders − Worksheet

Example 1: Find the volume of each prism. 1.

2.

6 cm

8 m

4 cm

9 cm

6 m

3.  a cube with edge length 8 ft

Example 2: 4.  The world’s largest ice cream cake, built in New York City on May 25, 2004, was approximately a 19 ft by 9 ft by 2 ft rectangular prism. Estimate the volume of the ice cream cake in gallons. If the density of the ice cream was 4.73 pounds per gallon, estimate the weight of the cake. ( Hint : 1 gallon ≈ 0.134 cubic feet)

Example 3: Find the volume of each cylinder. Give your answers both in terms of π and rounded to the nearest tenth. 5. 6. 3 m

5 m

10 ft

12 ft

201

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