Aright prism has height 15 and bases that are regular hexagons with sides of length 12. find the volume of the prism.

The volume of the hexagon is equal to

Step-by-step explanation:

we know that

The volume of the prism is equal to

where

B is the area of the base of the prism

H is the height of the prism

we have

To find the area of the base (hexagon) calculate the area of one equilateral triangle and then multiply by 6

we have

Applying Pythagoras theorem calculate the height of the triangle

substitute

The area of one triangle is equal to

Find the volume of the prism

step-by-step explanation:

most likely the answer is a.

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