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A triangular prism has a base of 6cm, 8cm, and 10cm long. Its lateral area is 744cm?.What is the height of the solid?

User Pauric
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1 Answer

21 votes
21 votes

We have the following equation for the lateral surface area of a triangular prism:


A=h(a+b+c)

where a,b and c are the measures of the sides of the triangular base.

In this case, we have the following:


\begin{gathered} A=744 \\ a=6 \\ b=8 \\ c=10 \end{gathered}

using the formula, we get:


744=h(6+8+10)

now, we can solve for h to find the height:


\begin{gathered} h(6+8+10)=744 \\ \Rightarrow24h=744 \\ \Rightarrow h=(744)/(24)=31 \\ h=31 \end{gathered}

therefore, the height of the solid is 31 cm

User Andrew Hodgkinson
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