Question

The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do I measure it the volume in this case?

As you can see, height is 9cm, length is 12, and width is 18 . ​

Answer 1

1782 cm³

Explanation:

First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.

Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³