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find the volume of the prism. round your answer to the nearest tenth, i…

Question

find the volume of the prism. round your answer to the nearest tenth, if necessary. 13 m 5 m 3 m

Explanation:

Step1: Find area of triangular base

The area of a triangle $A=\frac{1}{2}\times base\times height$. Here, base = 3 m and height = 5 m. So $A=\frac{1}{2}\times3\times5=\frac{15}{2}$ $m^{2}$.

Step2: Calculate volume of prism

The volume of a prism $V = A\times length$. The length of the prism is 13 m. So $V=\frac{15}{2}\times13=\frac{195}{2}=97.5$ $m^{3}$.

Answer:

$97.5$