Question

question 22 of 25
what is the volume of the prism given below?
a. 420 units³
b. 840 units³
c. 480 units³
d. 280 units³

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle is \(12\) and the height is \(5\). So, \(A = \frac{1}{2}\times12\times5= 30\)

Step2: Calculate the volume of the prism

The formula for the volume of a prism is \(V=A\times length\) (where \(A\) is the area of the base and \(length\) is the length of the prism). The area of the triangular base \(A = 30\) and the length of the prism is \(14\). So, \(V=30\times14 = 420\) units³.

Answer:

A. 420 units³