Calculating the Volume of a Right Prism A right prism has a base in the shape of an octagon. The side length of the octagon is 4

Question

3 years ago

9

Calculating the Volume of a Right Prism A right prism has a base in the shape of an octagon. The side length of the octagon is 4

inches. The length of the apothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number
HURRY PLEASE
well it was 927

Mathematics

1 answer:

Cerrena [4.2K] · Answer 1 · 2022-03-24T06:55:07+03:00

Cerrena [4.2K]3 years ago

6 0

we know that

volume of the prism= area of the base*height

Area of the base=perimeter*apothem/2

perimeter of the base=8*4

perimeter=32 in

Area of the base=32*4.83/2

Area of the base=77.28 in²

volume of the prism=77.28*12

volume of the prism=927.36 in³

therefore

the answer is

927 in³