Question

find the volume of the figure. round to the hundredths when necessary. 11.2 m 11 m 8 m

Explanation:

Step1: Identify the figure and formula

The figure is a square pyramid (base is a square with side 8 m, height is 11 m). 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 $s = 8$ m. The area of the base $B = s^2 = 8^2 = 64$ $m^2$.

Step3: Substitute into the volume formula

Using $B = 64$ $m^2$ and $h = 11$ m, we get $V = \frac{1}{3} \times 64 \times 11$.

Step4: Calculate the volume

$\frac{1}{3} \times 64 \times 11 = \frac{704}{3} \approx 234.67$ $m^3$.

Answer:

The volume of the pyramid is approximately $\boldsymbol{234.67}$ cubic meters.