Question

The product of the areas of the bottom, side and front faces of a rectangular box is .

• A. its volume
• B. 2×Volume
• C. volume${}^2$

Answer 1

The correct option is C volume${}^2$

A rectangular box is a cuboid. Let l, b and h be the length, breadth and height of the rectangular box respectively.
Area of bottom face = $l\times b$.
Area of side face = $b\times h$.
Area of front face = $l\times h$.
Product of areas of bottom, side and front faces of Rectangular box
= $lb\times bh\times lh$
= $l^2\times b^2\times h^2=(lbh{)}^2=Volum{e}^2$
$\Rightarrow$Square of the volume.