Find the surface area and volume of a pentagonal prism? - apothem of a prism
with a 5-foot apothem pentagonal base and the height of the prism is 10 meters
Friday, February 5, 2010
Apothem Of A Prism Find The Surface Area And Volume Of A Pentagonal Prism?
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Create a triangle with one leg apothem and the other leg is half the side of the base.
ReplyDeletethen the angle is beside the apothem is 360 ° / 10 ° = 36
Tan (36 °) = x / 5
x = 5 tan (36 °) = 3633 = half the base.
Thus, base 7265 =
.. . .
The base area = 5 * (7.265) (5) / 2 = 90.818
then the volume = base * height = 908.18 ft ³ will
Surface = 2 * 90,818 + 5 * 10 * 7.265 = 544.91 ft ²
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