Question

    Determine the volume (in cubic centimeters) of a cuboid

    whose adjacent face areas measure 320 cm², 480 cm², and 216 cm², respectively.
    A 5760 Correct Answer Incorrect Answer
    B 11520 Correct Answer Incorrect Answer
    C 1440 Correct Answer Incorrect Answer
    D 2880 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let length, breadth and height of the cuboid is ‘l’ cm, ‘b’ cm and ‘h’ cm respectively. So, l × b = 320 Or, b × h = 480 And, l × h = 216 So, (l × b) × (b × h) × (l × h) = 320 × 480 × 216 = 80 × 4 × 80 × 6 × 36 × 6 Or, l × b × h = 80 × 2 × 6 × 6 = 5760 cm3

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