Question

The base of a hexagonal prism has an area of 82 square inches. The height of the prism is 9 inches. Find the volume of the prism.

Answer 1

42.27in³

Explanation:

Using the formulas

A=6ah+33a2

AB=33a2

2

V=ABh

Solving forV

V=3h3﹣h23h2+3A+Ah

2=3·93﹣92·3·92+3·82+82·9

2≈42.27214in³

Answer 2

Answer: V≈1.57×105

Step-by-step explanation: V=33

2a2h=3·3

2·822·9≈1.57225×105