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

Respuesta :

Answer:

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

[tex]\begin{gathered} \frac{1}{8}\times16\: in=2\: in \\ \end{gathered}[/tex][tex]\frac{1}{8}\times6\: in=0.75\: in[/tex]

[tex]\frac{1}{8}\times8\: in=1\: in[/tex]

Therefore, the volume of the prism is

[tex]2\: in\times0.75\: in\times1\: in=1\frac{1}{2}\: in^3[/tex]

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