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Solve problems involving the volume of prisms and pyramids · Grade 9 · E1.6

Name: ______________________

Date: ______________________

  1. 1

    Find the volume of a rectangular prism with length 3 cm, width 6 cm, and height 4 cm, in cm³.

    Warm-up

    Answer:

  2. 2

    Find the volume of a rectangular prism with length 7 cm, width 3 cm, and height 8 cm, in cm³.

    Warm-up

    Answer:

  3. 3

    Find the volume of a rectangular prism with length 9 cm, width 4 cm, and height 9 cm, in cm³.

    Warm-up

    Answer:

  4. 4

    A triangular prism has a triangular face with base 2 cm and height 6 cm, and a length of 6 cm. Find its volume, in cm³.

    On level

    Answer:

  5. 5

    A triangular prism has a triangular face with base 8 cm and height 8 cm, and a length of 6 cm. Find its volume, in cm³.

    On level

    Answer:

  6. 6

    A triangular prism has a triangular face with base 6 cm and height 2 cm, and a length of 8 cm. Find its volume, in cm³.

    On level

    Answer:

  7. 7

    Find the volume of a rectangular-based pyramid with a 5 cm by 7 cm base and height 3 cm, in cm³.

    Challenge

    Answer:

  8. 8

    Find the volume of a rectangular-based pyramid with a 2 cm by 9 cm base and height 12 cm, in cm³.

    Challenge

    Answer:

  9. 9

    Find the volume of a rectangular-based pyramid with a 7 cm by 2 cm base and height 9 cm, in cm³.

    Challenge

    Answer:

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Worksheet code: eyJzIjoiZ2VvbWV0cnktdm9sdW1lLXByaXNtLXB5cmFtaWQiLCJkIjpbOTc5MjU2NTMyLDE1MzExMjc1MjgsNTEyMTA1MjE0LDE3MTgwNzM5MjYsMTcyOTEwNjc1MSw2MTY0NzgyODMsMjQyNDI4MDU5LDEyNTkyMzQxOCwxMTA4ODIyOTM1XSwidiI6MX0.5dbb73d11d35

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Answer key · Solve problems involving the volume of prisms and pyramids

  1. 1.
    72 — V = l × w × h = 3 × 6 × 4 = 72 cm³.
  2. 2.
    168 — V = l × w × h = 7 × 3 × 8 = 168 cm³.
  3. 3.
    324 — V = l × w × h = 9 × 4 × 9 = 324 cm³.
  4. 4.
    36 — Base area = (2 × 6) ÷ 2 = 6 cm², so V = 6 × 6 = 36 cm³.
  5. 5.
    192 — Base area = (8 × 8) ÷ 2 = 32 cm², so V = 32 × 6 = 192 cm³.
  6. 6.
    48 — Base area = (6 × 2) ÷ 2 = 6 cm², so V = 6 × 8 = 48 cm³.
  7. 7.
    35 — V = (l × w × h) ÷ 3 = (5 × 7 × 3) ÷ 3 = 35 cm³.
  8. 8.
    72 — V = (l × w × h) ÷ 3 = (2 × 9 × 12) ÷ 3 = 72 cm³.
  9. 9.
    42 — V = (l × w × h) ÷ 3 = (7 × 2 × 9) ÷ 3 = 42 cm³.