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denis-greek [22]
3 years ago
14

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

nts the volume of the prism, in cubic centimeters? 9x2 + 7x 14x2 + 7x 16x2 + 14x 28x2 + 14x
Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer:

it b on edge

Step-by-step explanation:


mash [69]3 years ago
5 0
Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
Area= \frac{5}{2} x\times2.8=7x

Therefore, the volume of the prism is given by
Volume=7x(2x+1)=14x^2+7x
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