Question

a solid right pyramid has a square base. the length of the base edge is 4 cm and the height of the pyramid is 3 cm. what is the volume of the pyramid? 12 cm³ 16 cm³ 32 cm³ 48 cm³

Explanation:

Step1: Calculate base - area

The base is a square with side length $a = 4$ cm. The area of a square $A_{base}=a^{2}$. So, $A_{base}=4^{2}=16$ $cm^{2}$.

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}A_{base}h$, where $h = 3$ cm is the height of the pyramid. Substitute $A_{base}=16$ $cm^{2}$ and $h = 3$ cm into the formula: $V=\frac{1}{3}\times16\times3$.

Step3: Compute the volume

$V = 16$ $cm^{3}$.

Answer:

$16$ $cm^{3}$