What is the volume of a hexagonal-based prism with a height of 12 in. and a base area of 62 in² ? Would the volume be different

Question

2 years ago

6

if the base were a pentagon with an area of 62 in² ? Explain.

1 answer:

goldfiish [28.3K] · Answer 1 · 2022-06-13T19:33:51+03:00

<h3>The volume of a hexagonal-based prism is 744 cubic inches</h3><h3>No the volume will not be different</h3>

<em><u>Solution:</u></em>

Given that,

Hexagonal-based prism with a height of 12 in. and a base area of 62 square inches

<em><u>The volume of prism is given as:</u></em>

$volume\ of\ prism = base\ area \times height\\\\volume\ of\ prism = 62 \times 12\\\\volume\ of\ prism = 744$

Thus volume of a hexagonal-based prism is 744 cubic inches

Would the volume be different if the base were a pentagon with an area of 62 in² ?

No the volume will not be different

The shape of base does not matter, as long as the base area is same

Thus, volume of hexagonal-based prism and pentagon prism with area 62 inches is 744 cubic inches