Volume of prisms and pyramids

Grade 7 Math Worksheet

NameDate

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

  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?

  2. 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?

  3. 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?

  4. 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?

  5. Luz's castle roof is a square pyramid: base 12 cm by 12 cm, height 8 cm, face height 10 cm. It is the highest roof in town. What is its volume in cubic cm?

  6. Ren's storage box holds 24 cubic inches. Ren makes its height 3 times as long. It is extra roomy now. What is its new volume in cubic inches?

  7. 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?

  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?

  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?

  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?

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Volume of prisms and pyramids

Answer Key - Grade 7 Math Worksheet

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

  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. 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
  3. 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
  4. 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
  5. Luz's castle roof is a square pyramid: base 12 cm by 12 cm, height 8 cm, face height 10 cm. It is the highest roof in town. What is its volume in cubic cm?

    384
  6. Ren's storage box holds 24 cubic inches. Ren makes its height 3 times as long. It is extra roomy now. What is its new volume in cubic inches?

    72
  7. 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
  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. 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. 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