Question

1. (01.07 mc) 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? (1 point)

Explanation:

Step1: Find the length of the prism

The side - length of each cube is $\frac{1}{8}$ inch. The number of cubes along the length is 16. So the length $l$ of the prism is $l = 16\times\frac{1}{8}=2$ inches.

Step2: Find the width of the prism

The number of cubes along the width is 8. So the width $w$ of the prism is $w = 8\times\frac{1}{8}=1$ inch.

Step3: Find the height of the prism

The number of cubes along the height is 6. So the height $h$ of the prism is $h = 6\times\frac{1}{8}=\frac{3}{4}$ inch.

Step4: Calculate the volume of the prism

The volume $V$ of a rectangular prism is given by the formula $V=l\times w\times h$. Substitute $l = 2$, $w = 1$, and $h=\frac{3}{4}$ into the formula: $V=2\times1\times\frac{3}{4}=\frac{3}{2}$ cubic inches.

Answer:

$\frac{3}{2}$ cubic inches