Question

2
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gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. each stall must be 9 feet high and have a volume of 1,080 cubic feet. the length of each stall should be 2 feet longer than its width.
the volume of a rectangular prism is found using the formula $v = lcdot wcdot h$, where $l$ is the length, $w$ is the width, and $h$ is the height.
complete the equation that represents the volume of a stall in terms of its width of $x$ feet.
$\square x^{2}+\square x = \square$
is it possible for the width of a stall to be 10 feet? $\square$
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Explanation:

Step1: Define variables

Let width = $x$, length = $x+2$, height = 9. Volume $V=1080$.

Step2: Substitute into volume formula

$V = l \cdot w \cdot h = (x+2) \cdot x \cdot 9 = 1080$

Step3: Expand the equation

$9x(x+2) = 1080 \implies 9x^2 + 18x = 1080$

Step4: Check width=10

Substitute $x=10$: $9(10)^2 +18(10)=900+180=1080$, which matches volume. So yes.

Answer:

9, 18, 1080; Yes