Volume of 3D Figures Quiz

Grade 8 · Math · Quiz

Apply volume formulas for cylinders, cones, spheres, and prisms to solve real-world problems.

Questions

  1. A cylinder has diameter 8 in and height 5 in. What is its volume? (Use π ≈ 3.14)

    1. 502.4 in³
    2. 251.2 in³
    3. 125.6 in³
    4. 1004.8 in³
    Show answer

    Answer: 251.2 in³

    Diameter = 8, so radius = 4. V = πr²h = 3.14 × 16 × 5 = 251.2 in³.

  2. A cone has radius 6 cm and height 9 cm. What is its volume? (Use π ≈ 3.14)

    1. 339.12 cm³
    2. 1017.36 cm³
    3. 678.24 cm³
    4. 113.04 cm³
    Show answer

    Answer: 339.12 cm³

    V = (1/3)πr²h = (1/3) × 3.14 × 36 × 9 = (1/3) × 1017.36 = 339.12 cm³.

  3. What is the volume of a rectangular prism with l = 5, w = 4, h = 3?

    1. 47 units³
    2. 60 units³
    3. 24 units³
    4. 120 units³
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    Answer: 60 units³

    V = l × w × h = 5 × 4 × 3 = 60 units³.

  4. A sphere has a radius of 6 cm. What is its approximate volume? (Use π ≈ 3.14)

    1. 904.32 cm³
    2. 452.16 cm³
    3. 150.72 cm³
    4. 2712.96 cm³
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    Answer: 904.32 cm³

    V = (4/3)πr³ = (4/3) × 3.14 × 216 = (4/3) × 678.24 = 904.32 cm³.

  5. A water tank is a cylinder with radius 4 m and height 7 m. Which formula finds its volume?

    1. V = 4 × π × 7
    2. V = π × 4² × 7
    3. V = (1/3) × π × 4² × 7
    4. V = (4/3) × π × 4³
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    Answer: V = π × 4² × 7

    The cylinder volume formula is V = πr²h, with r = 4 and h = 7.

  6. A cube has side length 5 cm. What is its volume?

    1. 25 cm³
    2. 75 cm³
    3. 125 cm³
    4. 150 cm³
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    Answer: 125 cm³

    V = s³ = 5³ = 125 cm³.

  7. A cone with radius 4 cm and height 6 cm has the same volume as a cylinder with radius 4 cm and height 2 cm.

    Show answer

    Answer: True

    Cone: (1/3)π(4²)(6) = 32π. Cylinder: π(4²)(2) = 32π. They are equal.

  8. The volume of a sphere with radius 1 cm, using π ≈ 3.14, is approximately _____ cm³.

    Show answer

    Answer: 4.19

    V = (4/3) × 3.14 × 1³ = (4/3) × 3.14 ≈ 4.19 cm³.

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