Question

The areas of the bottom, side, and front faces of a rectangular box are known. The product of these areas is equal to :

• A. The volume of the box
• B. The square root of the volume
• C. Twice the volume
• D. The square of the volume

Answer 1

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 = $l\times b$
Side area = $b\times h$
Front area = $l\times h$
Product of bottom, side and front areas of Rectangular box= $lb\times bh\times lh$ = $l^2\times b^2\times h^2$
$Volumeofrectangularbox$ = $lbh$