Question

A right rectangular prism's edge lengths are 6 inches, 3 inches, and 3 1 2 inches. How many unit cubes with edge lengths of 1 3 inch can fit inside the prism?

Answer 1

21

Explanation:

First, find the Surface Area: 6x3x3.5= 63

Last, divide by 1/3, to get 21!

Answer 2

1701 unit cubes

Explanation:

Volume of rectangular prism = 6 · 3 · 3

1

2

= 63 in3

Volume of each unit cube =

1

3

·

1

3

·

1

3

=

1

27

in3

volume of prism

volume of each unit cube

= 63 ÷

1

27

= 1701 unit cubes