Question

find the volume of the solid shown below. (image: pyramid with rectangular base labeled 8 ft, 11 ft, and height 9 ft) the volume of the solid is ______ cubic feet. the solution is blank box.

Explanation:

Step1: Identify the solid and formula

The solid is a pyramid with a rectangular base. The formula for the volume of 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 rectangle with length $11$ ft and width $8$ ft. The area of a rectangle is $B = length \times width$, so $B = 11 \times 8 = 88$ square feet.

Step3: Substitute into the volume formula

The height $h$ of the pyramid is $9$ ft. Substitute $B = 88$ and $h = 9$ into the volume formula: $V = \frac{1}{3} \times 88 \times 9$.

Step4: Simplify the expression

First, calculate $88 \times 9 = 792$. Then, $\frac{1}{3} \times 792 = 264$.

Answer:

264