Volume of prisms and pyramids

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo's music box is 9/2 in long, 5/2 in wide and 4/3 in tall. It plays one very long song. What is its volume in cubic inches?

   15
2. 2.

   Ari's cart basket is a prism 2.5 ft long. Its end is a trapezoid: parallel sides 3.4 and 2.2, height 1.6, slanted side 2 ft. It squeaks. What is its volume in cubic feet?

   11.2
3. 3.

   Esme's toy castle roof has a base of 6 cm by 5 cm and a height of 9 cm. Flag up. What is its volume in cubic cm?

   90
4. 4.

   Jun's playhouse roof has a base of 4.5 in by 4 in and a height of 5 in. A chimney peeks out. What is its volume in cubic inches?

   30
5. 5.

   Milo's storage box is a prism 4 in long. Its end is a trapezoid: parallel sides 7 and 2.5, height 6, slanted side 7.5 in. Socks hide here. Which expression gives its volume?

   • (7 + 2.5) × 7.5 ÷ 2 × 4
   • 7 × 6 × 4
   • (7 + 2.5) × 6 ÷ 2 × 4
   • (7 + 2.5) × 6 × 4
6. 6.

   Pia's recycling bin is a prism 2.5 ft long. Its end is a trapezoid: parallel sides 3.6 and 2.4, height 1.6, slanted side 2 ft. It is full of cans. Which expression gives its volume?

   • (3.6 + 2.4) × 2 ÷ 2 × 2.5
   • (3.6 + 2.4) × 1.6 × 2.5
   • (3.6 + 2.4) × 1.6 ÷ 2 × 2.5
   • 3.6 × 1.6 × 2.5
7. 7.

   Tala's gift box holds 18 cubic inches. Tala makes its length 2 times as long. Bigger boxes mean bigger bows. What is its new volume in cubic inches?

   36
8. 8.

   Zee's lunch box holds 30 cubic inches. Zee makes its width 4 times as long. Snacks will fit better. What is its new volume in cubic inches?

   120
9. 9.

   Zee's recycling bin is a prism. Its end is a trapezoid: parallel sides 15 and 10, height 12, slanted side 13 in. Always ready. What is its end's area (one layer) in square inches?

   150
10. 10.

    Bo's cart basket is a prism. Its end is a trapezoid: parallel sides 3.8 and 2.6, height 1.6, slanted side 2 ft. It squeaks. What is its end's area (one layer) in square feet?

    5.12