Volume of prisms and pyramids

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Luz's toy block is 5/2 in long, 3/2 in wide and 4/3 in tall. It has a golden star. What is its volume in cubic inches?

   5
2. 2.

   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
3. 3.

   Noah's toy ramp is a prism 6 cm long. Its end is a right triangle: base 15, height 8, slanted side 17 cm. It is built for speed. What is its volume in cubic cm?

   360
4. 4.

   Pia's cheese block is a prism 5 cm long. Its end is a right triangle: base 12, height 9, slanted side 15 cm. It has lots of holes. What is its volume in cubic cm?

   270
5. 5.

   Tala's paper tent is a prism 8 in long. Its end is a triangle: base 9, height 6, two slanted sides of 7.5 in. Tape holds it up. What is its volume in cubic inches?

   216
6. 6.

   Kira's pyramid tent is a square pyramid: base 6 ft by 6 ft, height 4 ft, face height 5 ft. It has a very pointy top. What is its volume in cubic feet?

   48
7. 7.

   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 + 2.5) × 6 ÷ 2 × 4
   • 7 × 6 × 4
   • (7 + 2.5) × 6 × 4
8. 8.

   Pia's cheese wedge is a prism. Its end is a triangle: base 24, height 10, slanted side 26 cm. It smells great. What is its end's area (one layer) in square cm?

   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