Question

A right rectangular prism's edge lengths are 9 inches, 9 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 1/2 inch can fit inside the prism?

Answer 1

2160 cubes

Step-by-step explanation

The given rectangular prism has edge lengths,

9 inches,9inches and 3⅓ inches.

The volume of this rectangular prism is

`V = 9 * 9 * (10)/(3)`

`V = 3 * 9 * 10 = 270 {in}^(3)`

A cube with unit edges of length

`(1)/(8)`

has volume.

`v = {( (1)/(8)) }^(3) = (1)/(8)`

The number of unit cubes that can go into the prism is

`= (270)/( (1)/(8) ) = 2160`