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.
Explanation:
Consider the formula to find the volume of the pentagonal prism.
[tex]V=Base\text{ area}\times Height[/tex]
Substitute V =451 and height = 11 in the formula.
[tex]451=Base\text{ area}\times11[/tex]
Divide both sides by 11.
[tex]\frac{451}{11}=Base\text{ area}\times\frac{11}{11}[/tex]
[tex]41\text{ units}^2=Base\text{ area}[/tex]
Final answer:
[tex]Base\text{ area=}41\text{ units}^2[/tex]
