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.
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.