Question

If the areas of the three adjacent faces of a cuboidal box are 120 cm${}^2$, 72 cm${}^2$ and 60 cm${}^2$ respectively, then find the volume of the box.

• A. 720 cm³
• B. 864 cm³
• C. 7200 cm³
• D. (72)² cm³
• E. 650 cm³

Answer 1

The correct option is A

720 cm³

Let the length, breadth and height of the box be l, b and h respectively.

Then, Volume = lbh = $\sqrt{{\left(lbh\right)}^2}=\sqrt{lb\times bh\times lh}=\sqrt{120\times 72\times 60}=720c{m}^3$