Question

What is the volume of the following prism?


A. 225 m³
B. 75 m²
C. 50 m³
D. 150 m³

Answer 1

Answer: $\Large\boxed{B.~\displaystyle 75~m^3}$

Step-by-step explanation:

Given information

Height = 2 m

Base = 5 m

Length = 15 m

Given the formula for Triangular Prism Volume

$V~=~\displaystyle \frac{1}{2}\times ~b~\times~h~\times~l$

$\to V=Volume\\\to b=base\\\to h = height\\\to l = length$

Substitute values into the formula

$V~=~\displaystyle \frac{1}{2}\times ~(5)~\times~(2)~\times~(15)$

Simplify by multiplication

$V~=~\displaystyle \frac{5}{2}~\times ~30$

$\Large\boxed{V~=~\displaystyle 75~m^3}$

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