Question

felicia has a jewelry box in the shape of a rectangular prism that has a volume of 72 cubic inches. the box is 2 inches tall. decide if the jewelry box could have each given length and width. choose yes or no for each length and width combination. length: 6 inches; width: 6 inches

Explanation:

Step1: Recall volume formula for rectangular - box

The volume formula for a rectangular - box is $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height. We know $V = 72$ cubic inches and $h = 2$ inches.

Step2: Solve for the product of length and width

Substitute the known values into the volume formula: $72=l\times w\times2$. Then, $l\times w=\frac{72}{2}=36$.

Step3: Check the given length - width combination

The given length $l = 6$ inches and width $w = 6$ inches. Calculate $l\times w$: $6\times6 = 36$.

Answer:

Yes