Suppose you have two boxes each of which is a cube and the l

Suppose you have two boxes, each of which is a cube, and the length of a side of the second box is twice as long as the length of a side of the first box. How many smaller boxes can be placed inside the larger box if the length of a side of the box is 1 foot?

Solution

Basic concepts

1. Since the objects is cubiodal in shape, so we have to check for the volume balance.

The second cude have size 2 foot so, the volume of the second cube will be 2*2*2 = 8 cubic foot.

The volume of the first box is 1 cubic foot.

So, it will consume 8 small boxes.

We can solve this problem by arranging the small box in the bigger one.

For completing the lengths of the second box we need two small box along its length. similarly for width. For the case of height we have 4 boxes in half height of the second box. so it need 4 more.

8 is the answer