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the storage box shown has these dimensions. length: $\frac{1}{2}$ foot …

Question

the storage box shown has these dimensions. length: $\frac{1}{2}$ foot width: $\frac{1}{2}$ foot height: $\frac{3}{4}$ foot what is the volume of the box?

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular - prism (box) is $V = l\times w\times h$, where $l$ is length, $w$ is width, and $h$ is height.

Step2: Substitute given values

Given $l=\frac{1}{2}$ foot, $w = \frac{1}{2}$ foot, and $h=\frac{3}{4}$ foot. Then $V=\frac{1}{2}\times\frac{1}{2}\times\frac{3}{4}$.

Step3: Multiply fractions

$\frac{1}{2}\times\frac{1}{2}\times\frac{3}{4}=\frac{1\times1\times3}{2\times2\times4}=\frac{3}{16}$ cubic foot.

Answer:

D. $\frac{3}{16}$ cubic foot