Question

calculate the volume of the prism. 2.0 in. 2.5 in. 5.0 in. a) 4.2 in.³ b) 12.5 in.³ c) 37.5 in.³ d) 25 in.³

Explanation:

Step1: Find base - area of the prism

The base is a triangle with base $b = 2.0$ in and height $h = 2.5$ in. The area of a triangle $A_{base}=\frac{1}{2}\times b\times h$.
$A_{base}=\frac{1}{2}\times2.0\times2.5 = 2.5$ in²

Step2: Calculate the volume of the prism

The volume of a prism $V=A_{base}\times l$, where $l = 5.0$ in is the length of the prism.
$V = 2.5\times5.0=12.5$ in³

Answer:

B. 12.5 in.³