Question

# The base area and the area of two adjacent walls of a rectangular box is known. The product of these areas is equal to

A

The volume of the box

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B

the square root of the valume

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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 The rectangular box is a cuboid. Let l, b and h be the length, breadth and height of the rectangular box respectively. Base area =lb area of one wall =bh area of adjacent wall =lh Product of these areas of the Rectangular box =lb×bh×lh=l2b2h2 Volume of rectangular box =lbh ∴Product of the given areas of the Rectangular box = The square of the volume

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