Question

find the volume of the solid.
the volume is □ . (simplify your answer.)

Explanation:

Step1: Identify the solid and formula

The solid is a square pyramid. The volume formula for a pyramid is $V = \frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate the base area

The base is a square with side length $5$ cm. The area of a square is $B = s^2$, so $B = 5^2 = 25$ $cm^2$.

Step3: Substitute values into the volume formula

The height $h$ is $9$ cm. Substitute $B = 25$ and $h = 9$ into $V = \frac{1}{3}Bh$: $V = \frac{1}{3} \times 25 \times 9$.

Step4: Simplify the expression

$\frac{1}{3} \times 25 \times 9 = 25 \times 3 = 75$ $cm^3$.

Answer:

$75$ cubic centimeters (or $75\ cm^3$)