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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.

cubic inches

Respuesta :

927 Cubic Inches!! 

Area of Octagon, using the formula for finding the area of regular polygons (A = 1/2 x apothem x perimeter): A= 1/2 x 4.83 x 4(8) -> A = 77.28
Then using the Area of the base , you then multiply it with the height, and you get your volume: 77.28 x 12 = 927 cubic inches
adefioyelaoye

The volume of the prism is 927 cubic Inches.

What is Volume?

This is defined as the measure of how much space there is within a three-dimensional object.

Area of Octagon A = 1/2 x apothem x perimeter

A= 1/2 x 4.83 x 4(8) = 77.28

Volume  = Area of the base × height

                = 77.28 x 12 = 927 cubic inches.

Read more about Volume of prism here https://brainly.com/question/23963432

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