Question

what is the volume of the prism below? a. 288 units³ b. 56 units³ c. 180 units³ d. 144 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 \(8\) and the height is \(3\). So, \(A = \frac{1}{2}\times8\times3= 12\)

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 length of the prism is \(12\) and \(A = 12\). So, \(V=12\times12 = 144\)

Answer:

D. 144 units³