JosieD215621 JosieD215621
  • 27-10-2022
  • Mathematics
contestada

how to find the volume of a polygon without the base area

Respuesta :

JaanviF626753 JaanviF626753
  • 27-10-2022

Answer:

1008yd^3

Explanation;

The formula for finding the volume of a pentagon is expressed as;

V = A*h

A is the base area

h is the height of the polygon = 12yd

A = 1/2(5s*a)

s is the side length of the polygon = 7yd

a is the apothem = 4.8yd

Substitute and get the base area

A = 1/2 (5*7*4.8)

A = 1/2 * 168

a = 84yd^2

Volume of the pentagon = 84 * 12

Volume of the pentagon = 1008yd^3

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