Question

question 1 of 10
what is the volume of the prism below?

a. 104 units³
b. 168 units³
c. 336 units³
d. 250 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 \(7\) and the height is \(6\). So, \(A = \frac{1}{2}\times7\times6=\frac{42}{2}=21\)

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 \(8\) and \(A = 21\). So, \(V=21\times8 = 168\)

Answer:

B. 168 units³