Question

question 3 of 42
what is the volume of the triangular prism shown below?
image of triangular prism with dimensions
a. 135 cu. units
b. 405 cu. units
c. 270 cu. units
d. 540 cu. units
submit

Explanation:

Step1: Find area of triangular base

The triangle has base \(9\) and height \(4\). Area of triangle \(A=\frac{1}{2}\times base\times height=\frac{1}{2}\times9\times4 = 18\).

Step2: Volume of triangular prism

Volume \(V = A\times length\), where length is \(15\). So \(V=18\times15 = 270\).

Answer:

C. 270 cu. units