Question

The areas of 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.

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 area of three adjacent faces $=$ $(lb\times bh\times lh)$=$(lbh{)}^2$

Then the square of the volume of the box.