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Question
just as josiah had hoped, his grandmother made her delicious chocolate chip cookies for their family reunion! she brought the cookies in a picnic basket shaped like a rectangular prism. the picnic basket is 18 inches long, 9 inches tall, and has a volume of 1,863 cubic inches. how wide is the picnic basket? inches
Step1: Recall volume formula
The volume formula for a rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height.
Step2: Rearrange formula for width
We can rewrite the formula to solve for $w$ as $w=\frac{V}{l\times h}$.
Step3: Substitute values
Given $V = 1863$ cubic - inches, $l = 18$ inches and $h = 9$ inches. Then $w=\frac{1863}{18\times9}$.
Step4: Calculate
First, calculate $18\times9 = 162$. Then $\frac{1863}{162}=11.5$ inches.
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$11.5$