Question

A right rectangular prism is packed with cubes of side length 1/8 inch. if the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?A. 1 1/2 cubic inchesB. 1 3/4 cubic inchesC. 2 1/2 cubic inchesD. 2 3/4 cubic inches

Answer 1

A. 1 1/2 cubic inches

Explanation:

We are told that the side length of the cube is 1/8 of an inch. Furthermore, we are also told that the rectangular prism fits 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height. This means the measures of the dimensions of the prism are

`\begin{gathered} (1)/(8)*16\: in=2\: in \\ \end{gathered}`
`(1)/(8)*6\: in=0.75\: in`

`(1)/(8)*8\: in=1\: in`

Therefore, the volume of the prism is

`2\: in*0.75\: in*1\: in=1(1)/(2)\: in^3`

Hence, the volume of the prism is 1 1/2 cubic inches