Mathematics
Cindycastillon
33

the surface area of a right triangular prism is 228 square inches. The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the bae is 10 inches. Find the height of the prism. Please help meeeee!!!!!!

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(1) Answers
lyssie11234

[latex]look\ at\ the\ picture\\\\Area=228\ in^2\\\\Area=2A_1+A_2+A_3+A_4\\\\2A_1=2\cdot\frac{6\cdot8}{2}=48\ (in^2)\\\\A_2=8H\\\\A_3=6H\\\\A_4=10H[/latex] [latex]48+8H+6H+10H=228\\\\48+24H=228\ \ \ /-48\\\\24H=180\ \ \ /:24\\\\H=7.5\ (in)[/latex]

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