Volume of prisms and pyramids

Grade 7 Math Worksheet

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

  1. 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?

  2. 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?

  3. Zee's recycling bin is a prism 10 in long. Its end is a trapezoid: parallel sides 15 and 10, height 12, slanted side 13 in. It is ready. What is its volume in cubic inches?

  4. Bo's storage box is a prism 6 in long. Its end is a trapezoid: parallel sides 9.5 and 6.5, height 4, slanted side 5 in. Socks hide here. What is its volume in cubic inches?

  5. 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?

  6. 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) × 6 × 4
    • (7 + 2.5) × 6 ÷ 2 × 4
    • (7 + 2.5) × 7.5 ÷ 2 × 4
    • 7 × 6 × 4
  7. Noah's toy cart basket is a prism 3 in long. Its end is a trapezoid: parallel sides 5 and 3.2, height 2.4, slanted side 3 in. It squeaks. Which expression gives its volume?

    • 5 × 2.4 × 3
    • (5 + 3.2) × 3 ÷ 2 × 3
    • (5 + 3.2) × 2.4 ÷ 2 × 3
    • (5 + 3.2) × 2.4 × 3
  8. 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?

  9. Ren's cheese block is a prism. Its end is a triangle: base 18, height 24, slanted side 30 cm. Lots of holes. What is its end's area (one layer) in square cm?

  10. 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?

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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. 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
  2. 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
  3. Zee's recycling bin is a prism 10 in long. Its end is a trapezoid: parallel sides 15 and 10, height 12, slanted side 13 in. It is ready. What is its volume in cubic inches?

    1500
  4. Bo's storage box is a prism 6 in long. Its end is a trapezoid: parallel sides 9.5 and 6.5, height 4, slanted side 5 in. Socks hide here. What is its volume in cubic inches?

    192
  5. 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
  6. 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) × 6 × 4
    • (7 + 2.5) × 6 ÷ 2 × 4
    • (7 + 2.5) × 7.5 ÷ 2 × 4
    • 7 × 6 × 4
  7. Noah's toy cart basket is a prism 3 in long. Its end is a trapezoid: parallel sides 5 and 3.2, height 2.4, slanted side 3 in. It squeaks. Which expression gives its volume?

    • 5 × 2.4 × 3
    • (5 + 3.2) × 3 ÷ 2 × 3
    • (5 + 3.2) × 2.4 ÷ 2 × 3
    • (5 + 3.2) × 2.4 × 3
  8. 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
  9. Ren's cheese block is a prism. Its end is a triangle: base 18, height 24, slanted side 30 cm. Lots of holes. What is its end's area (one layer) in square cm?

    216
  10. 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