Question

The pentagonal prism below has a height of 11 units and a volume of 451 units. Find the area of one of its bases.

Answer 1

Given:

The height of the pentagonal prism = 11 units.

The volume of the pentagonal prism = 451 cube units.

Required:

We need to find the baser area.

Step-by-step explanation:

Consider the formula to find the volume of the pentagonal prism.

`V=Base\text{ area}* Height`

Substitute V =451 and height = 11 in the formula.

`451=Base\text{ area}*11`

Divide both sides by 11.

`(451)/(11)=Base\text{ area}*(11)/(11)`

`41\text{ units}^2=Base\text{ area}`

Final answer:

`Base\text{ area=}41\text{ units}^2`