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Julli [10]
4 years ago
12

The base of a triangular prism is an equilateral triangle with a perimeter of 15in. If the height of the prism is 4in, find the

surface area.
Mathematics
1 answer:
goblinko [34]4 years ago
4 0
We know that
surface area=2*[area of the base]+perimeter of the base*height 
find the area of the base

is an equilateral triangle
b=15/3----> 5 in
applying the law of sines to find the area
Area=(1/2)*b²*sin 60°------> area=(1/2)*5²*sin 60°----> 10.8253 in²

alternative method to find the area of the equilateral triangle
find the h value
applying the Pythagoras theorem
h²=5²-2.5²-----> h=√18.75-----> h=4.33 in
area=b*h/2----> area=5*4.33/2----> 10.8253 in²

surface area=2*[10.8253]+15*4----->  81.65 in²

the answer is
81.65 in²
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Serhud [2]

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For this case we have the following definitions:


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