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
• B. the square root of the valume
• C. twice the volume
• D. the square of the volume

Answer 1

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 $=lb\times bh\times lh=l^2{b}^2{h}^2$
Volume of rectangular box $=lbh$

$\therefore$Product of the given areas of the Rectangular box $=$ The square of the volume