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levacccp [35]
10 months ago
13

The bases of the prism below are right triangles. The volume of the prism is 3360 units33 . Find the height of the prism.

Mathematics
1 answer:
lana66690 [7]10 months ago
8 0

Answer:

14

Explanation:

Given:

Volume of the prism = 3360 units^3

To find:

The height of the prism

We'll use the below formula to determine the height(h) of the prism;

\begin{gathered} Volume(V)=Area(A)\text{ of the triangular base * Height\lparen H\rparen of the prism} \\ V=(\frac{b*h}{2})*H \\ 3360=(\frac{16*30}{2})*H \\ 3360=240*H \\ H=\frac{3360}{240} \\ H=14 \end{gathered}

So the height of the prism is 14

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