Question

A cuboid has length, breadth and diagonal as 4 m, 3 m and 13 m respectively. Find its volume.

Answer 1

VOLUME OF CUBOID IS L*B*H  =156metre cube

Answer 2

Volume = 148.44 sq. m

Explanation:

Given:

Length of the cuboid = 4 m

Breadth of the cuboid = 3 m

Diagonal of the cuboid = 13 m

We know that the corners of cuboid are right angles.

In a right-angled triangle, square of diagonal = sum of square of the sides.

So 13^2 = 4^2 + height^2

Height = root of (169 - 16) =  root of 153 = 12.37 m

Volume of cuboid = length × breadth × height

= 4 * 3 * 12.37

= 148.44 sq. m