Question

The areas of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to:

• A. The volume of the box
• B. Twice the volume of the box
• C. The square of the volume of the box
• D. The cube root of the volume of the box
• E. None of these

Answer 1

The correct option is C

The square of the volume of the box

Let length = l, breadth = b and height = h.

Then, Product of areas of 3 adjacent faces = (lb$\times$ bh $\times$ lh) = (lbh)${}^2$ = (volume)${}^2$