Posted by **Jay** on Saturday, February 1, 2014 at 2:04pm.

The right triangular prism has bases that are equilateral triangles. The height is 8 in and the side of the base is 5 in , what is the prism's volume?

- EASY Volume of shapes -
**Reiny**, Saturday, February 1, 2014 at 2:26pm
area = area of base x heigh

so the hard part is to find the area of the equilateral triangle with sides 5

1. easiest way:

area = (1/2) side^2 x sin60 = (1/2)(25)*√3/2

= 25√3

2. draw in the height of the triangle, call it h

h/5 = sin60

h = 5sin60

area = (1/2)(base x height)

= (1/2)(5)(5√3/2) = 25√3

(same as abov)

volume of prism = 25√3(8) = 200√3 cubic inches

- EASY Volume of shapes -
**Jay**, Saturday, February 1, 2014 at 2:33pm
thanks for the help

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