Question

If the areas of three adjacent faces of a cuboidal box be 40cm square, 30cm square, 12cm square respectively, then find the volume of the box

Answer 1

Solutions :-

Given :
The areas of three adjacent faces of a cuboidal box be 40 cm², 30 cm², 12 cm² respectively.


Find the volume of the box :-

We know that,
Volume of cuboid = lbh cu. unit

So, √(l × b × l × h × b × h) cu. unit
= √(40 × 30 × 12) cm³
= √ 14400 cm³
= 120 cm³

Hence,
Volume of the box = 120 cm³

Answer 2

Solutions :-

We have
Area of three adjacent faces of a cuboidal box be 40cm square, 30cm square, 12cm square respectively.


We know,
Volume of Cuboidal box = lbh cubic units

$\sqrt{area \: \: of \: \: three \: \: adjacent \: \: faces} \\ \\ \sqrt{40 \times 30 \times 12} \\ \\ = \sqrt{14400} = 120$



Hence,
Volume of cuboidal box = 120 cm