Question

What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm?

Answer 1

Hey there! :)

Tho formula for finding volume of a pentagonal prism → area × height

Area = 5.16
Height = 9

All you have to do is multiply

5.16 × 9 = 46.44

Your answer is the 1st choice = 46.44 cm³

Hope this helps :)

Answer 2

The volume of a pentagonal prism is given by the following formula:

$V = ah$

a is the base area, and h is the height of the prism.

We already have our base area and height, so plug them into the equation:

$a = 9, h = 5.16$

$9 \times 5.16 = 46.44$

The volume is 46.44 centimeters cubed.