SOLUTION: 1. The volume of a regular triangular prism is 240 square root of 3 cu
In. and its altitude is 15 in. Find the side of the base
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Question 1146136: 1. The volume of a regular triangular prism is 240 square root of 3 cu
In. and its altitude is 15 in. Find the side of the base
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. The volume of a regular triangular prism is 240 square root of 3 cu
In. and its altitude is 15 in.
Find the side of the base
:
Assuming the base triangle is a equilateral triangle
let s = the side of the base
Find the height of the base triangle
h =
h =
h =
Find the area of the base triangle
A = s*h
Replace h
A =
extract s
A =
volume (240) is the area of the base * the altitude (15)
=
get rid of the fraction, mult by 2
=
divide both sides by 15
=
square both sides
= 1024*3
= 3072
divide both sides by .75
= 4096
Use your calc to find the 4th root of 4096
s = 8 inches is the side of the base
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