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QUESTION IMAGE

hallar el volumen de esta pirámide rectangular. incluir las unidades co…

Question

hallar el volumen de esta pirámide rectangular. incluir las unidades correctas en la respuesta.

Explanation:

Step1: Recall volume formula

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

Step2: Calculate base area

The base is a rectangle with length $l = 9$ yd and width $w = 8$ yd. The area of the base $B=l\times w=9\times8 = 72$ square - yards.

Step3: Substitute values into formula

The height $h = 8$ yd. Substitute $B = 72$ and $h = 8$ into the volume formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times72\times8$.

Step4: Perform calculation

First, $\frac{1}{3}\times72 = 24$, then $24\times8=192$ cubic - yards.

Answer:

$192$ yd³