435 views
1 vote
The figure below shows a rectangular prism and a cube:

How many such cubes are required to completely pack the prism without any gap or overlap?

The figure below shows a rectangular prism and a cube: How many such cubes are required-example-1

2 Answers

1 vote

1440 is the answer to your question

User Daniel Weiner
by
8.4k points
6 votes

6 in. = 36/6 in. = 36 * 1/6 in.

5/6 in = 5 * 1/6 in.

1 2/6 in. = 8/6 in = 8 * 1/6 in.

You can fit 36 cubes along the 6 in. length, 5 cubes along the width of 5/6 in., and 8 cubes along the height of 1 2/6 in.

36 * 5 * 8 = 1440

Answer: 1440

User Vade
by
8.7k points