Question

The length of a cuboid is twice its breadth and the height is 1 3 of the length. Find the volume of the cuboid if its length is 12 cm.

Answer 1

Let's denote the breadth of the cuboid as B, the length as L, and the height as H.

According to the problem:
L = 2B (Length is twice the breadth)
H = L/3 (Height is one-third of the length)

We are given that the length L is 12 cm, so now we can find the breadth and height as follows:

L = 12 cm
B = L/2 = 12 cm / 2 = 6 cm (Since breadth is half of the length)
H = L/3 = 12 cm / 3 = 4 cm (Since height is one-third of the length)

The volume (V) of a cuboid is given by the formula:
V = L * B * H

Now plug in the values we found:
V = 12 cm * 6 cm * 4 cm
V = 288 cubic centimeters

So the volume of the cuboid is 288 cubic centimeters.