Question

question 6 of 10 what is the volume of the regular pyramid below? a. 96 units³ b. 225 units³ c. 135 units³ d. 75 units³

Explanation:

Step1: Find the base - area

The base is a square with side length $s = 5$. The area of a square $A_{base}=s^2$. So, $A_{base}=5^2 = 25$.

Step2: Use the volume formula

The volume formula for a pyramid is $V=\frac{1}{3}A_{base}h$, where $h = 9$. Substitute $A_{base}=25$ and $h = 9$ into the formula: $V=\frac{1}{3}\times25\times9$.

Step3: Calculate the volume

$V=\frac{1}{3}\times25\times9=25\times3 = 75$.

Answer:

D. 75 units$^{3}$