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question 8 of 10 what is the volume of the prism below? a. 648 units³ b…

Question

question 8 of 10
what is the volume of the prism below?
a. 648 units³
b. 112 units³
c. 324 units³
d. 226 units³

Explanation:

Step1: Calculate base - area

The base is a triangle with base $b = 9$ and height $h = 4$. The area of a triangle $A_{base}=\frac{1}{2}\times b\times h=\frac{1}{2}\times9\times4 = 18$.

Step2: Calculate volume

The volume of a prism $V=A_{base}\times l$, where $l = 18$ (the length of the prism). So $V=18\times18=324$.

Answer:

C. 324 units³