Question

1. find the volume of a rectangle - based pyramid with a base 8 in by 6 in and a height of 5 in. round to the nearest cubic inch. we know

Explanation:

Step1: Calculate base - area

The base is a rectangle with length $l = 8$ in and width $w=6$ in. The area of the base $A = l\times w$. So, $A=8\times6 = 48$ square - inches.

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height. Given $h = 5$ in and $A = 48$ square - inches. Then $V=\frac{1}{3}\times48\times5$.

Step3: Calculate the volume

$V=\frac{1}{3}\times48\times5=80$ cubic - inches.

Answer:

80