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3 problems match “area of regular polygons”. Clear

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1. Volume of a regular pentagonal prism ●○○○○ 10 ptsA right prism has regular pentagons as its bases. The side length of each pentagonal base is 4 cm and the height of the prism is 11 cm. Find the volume of the prism in cubic cm. Use the area of a regular pentagon $\approx 1.720477\,s^2$ for side length $s$. Round to two decimal places.
2. Total surface area of a pentagonal prism ●○○○○ 10 ptsA regular pentagonal prism has a base side length of 6 centimeters, a base apothem of 4 centimeters, and a height of 5 centimeters. Find its total surface area in square centimeters.
3. Side length from heptagon area ●○○○○ 10 ptsA regular heptagon has area $78.105$ square cm. Find its side length in cm, using the area formula $A \approx 3.633912444\,x^2$, where $x$ is the side length. Round to three decimal places.