Question

If A1, A2, and A3 denote the areas of three adjacent faces of a cuboid, then its volume is

(i) A1 A2 A3

(ii) 2A1 A2 A3

(iii) $\sqrt{A_1{A}_2{A}_3}$

(iv) ${}^3\sqrt{A_1{A}_2{A}_3}$

Answer 1

We have;

Here A₁, A₂ and A₃ are the areas of three adjacent faces of a cuboid.

But the areas of three adjacent faces of a cuboid are lb, bh and hl, where,

Length of the cuboid

Breadth of the cuboid

Height of the cuboid

We have to find the volume of the cuboid

Here,

Thus, volume of the cuboid is.

Hence, the correct choice is (c).