Question

a right prism has a base in the shape of an octagon. the area of the octagonal base is 77.28 square inches, and the height of the prism is 12 inches. what is the volume of the prism? round your answer to the nearest whole number. cubic inches

Explanation:

Step1: Recall volume formula

The volume formula for a prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height.

Step2: Substitute given values

We are given that $B = 77.28$ square inches and $h=12$ inches. So, $V=77.28\times12$.

Step3: Calculate the volume

$V = 77.28\times12=927.36$ cubic inches.

Step4: Round to the nearest whole number

Rounding $927.36$ to the nearest whole number gives $927$ cubic inches.

Answer:

927