Question

The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm² respectively. The volume of the cuboid is ______.

पर्याय

• 30 cm³

• 40 cm³

• 20 cm³

• 35 cm³

Answer 1

The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm² respectively. The volume of the cuboid is 30 cm³.

Explanation:

If l, b and h are the dimensions of the cuboid. Then,

Volume of the cuboid = `l xx b xx h`

Here, `6 = l xx b`

`15 = l xx h`

`10 = b xx h`

∴ `6 xx 15 xx 10 = l^2b^2h^2`

∴ Volume = `l xx b xx h`

= `sqrt(6 xx 15 xx 10`

= 30 cm³