Question

A right rectangular prism has edges measuring 3/4 inch, 1 inch, and 1/4 inch. How many cubes with side lengths of 1/4 would be needed to fill the prism?

Answer 1

Answer: 8

Explanation:

Ask yourself how many can go into each number? 1/4=1.

1=4.

3/4=3.

Answer 2

Explanation:

Number of cubes = Volume of rectangular prism / Volume of 1 cube

Volume of rectangular prism= length * width * height

`=(3)/(4)*1*(1)/(4)\\\\=(3)/(16)cubic inches`

Volume of Cube= edge * edge *edge

`=(1)/(4)*(1)/(4)*(1)/(4)\\\\=(1)/(64)cubic inches`

Number of cubes= (3/16)÷(1/64)

`=(3)/(16)*(64)/(1)\\\\=3*4`

= 12 cubes