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Question

The bottom, side and front areas of a rectangular box are known. The product of these area s is equal to


A

The volume of the box

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B

The square root of the volume

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C

Twice the volume

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D

The square of the volume

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Solution

The correct option is D

The square of the volume


A rectangular box is a cuboid. Let l, b and h be the length, breadth and height of the rectangular box respectively.
Bottom area = lb
Side area = bh
Front area =lh
Product of bottom, side and front areas of
Rectangular box=lb×bh×lh=l2b2h2
Volume of rectangular box = lbh


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