SOLUTION: Find the volume of a triangular prism whose base is an equilateral triangle with edges = 5 in. and height = 9 in. using the gizmo provided. Round your answer to the nearest inch.

Question 823819: Find the volume of a triangular prism whose base is an equilateral triangle with edges = 5 in. and height = 9 in. using the gizmo provided. Round your answer to the nearest inch.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
b = triangle base
b = 5
---
L = prism length
L = 9
---
h = triangle height
h = ???
---
a = area of triangle
a = (1/2)bh
---
v = volume of prism
v = aL
---
h:
5 = sqrt( h^2 + (5/2)^2 )
25 = h^2 + (5/2)(5/2)
25 = h^2 + 25/4
h^2 = 25 - 25/4
h^2 = 100/4 - 25/4
h^2 = 75/4
h = sqrt( 75/4 )
h = 4.330127
---
a:
a = (1/2)bh
a = (1/2)*(5)*(4.330127)
a = 10.8253175
---
v:
v = aL
v = (10.8253175)*(9)
v = 97.4278575
---
answer:
volume = 97.4278575 cu.in
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
1. Find the volume of a right triangular prism whose height is 100 cm and whose base is a (answered by josgarithmetic)

A right prism with equilateral triangular bases whose sides are 6 in. and the height of... (answered by Nate)

Please help me solve this problem I am getting nowhere with it. (answered by Fombitz)

Find the maximum volume of a truncated right prism with regular triangle as base whose... (answered by ikleyn)

The base of a triangular prism is an equilateral triangle with a perimeter of 42 cm.... (answered by malakumar_kos@yahoo.com)

Please help me answer this question The base of a prism is a triangle whose base... (answered by robertb)

if all the edges of an equilateral triangular based right prism is s units long, what is... (answered by macston)

A rectangular prism has base edge lengths of 6 inches and 8 inches. The base edge lengths (answered by greenestamps)

In an right triangle prism the triangular base ABC is right angled at B,AB=5x cm and... (answered by greenestamps)