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}`

Explanation:

Given information

Height = 2 m

Base = 5 m

Length = 15 m

Given the formula for Triangular Prism Volume

`V~=~\displaystyle (1)/(2)* ~b~*~h~*~l`

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

Substitute values into the formula

`V~=~\displaystyle (1)/(2)* ~(5)~*~(2)~*~(15)`

Simplify by multiplication

`V~=~\displaystyle (5)/(2)~* ~30`

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

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