SAT Math · Topic 4.1

Area and Volume Practice

Part of Geometry and Trigonometry.

Practice questions

40

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Sample questions

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  1. Sample 1difficulty 2/5

    A cube has side 44. What is its total surface area?

    • A

      6464

    • B

      4848

    • C

      9696

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    • D

      1616

    Why

    SA=6s2=6(16)=96SA=6s^2=6(16)=96.

  2. Sample 2difficulty 2/5

    A cube has side 77. What is its volume?

    • A

      294294

    • B

      343343

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    • C

      729729

    • D

      4949

    Why

    V=73=343V=7^3=343.

  3. Sample 3difficulty 2/5

    A sphere has radius 66. What is its volume?

    • A

      288π288\pi

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    • B

      144π144\pi

    • C

      216π216\pi

    • D

      72π72\pi

    Why

    V=43π(216)=288πV=\frac{4}{3}\pi(216)=288\pi.

  4. Sample 4difficulty 2/5

    A box has base area 2020 and height 99. What is its volume?

    • A

      9090

    • B

      2929

    • C

      180180

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    • D

      200200

    Why

    V=Bh=20(9)=180V=Bh=20(9)=180.

  5. Sample 5difficulty 2/5

    A rectangular prism has dimensions 4×5×64\times 5\times 6. What is its volume?

    • A

      148148

    • B

      7474

    • C

      120120

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    • D

      6060

    Why

    V=lwh=456=120V=lwh=4\cdot 5\cdot 6=120.