QuestionFind the width $w$ of a prism with volume 504 ft³, length 7 ft, and height 12 ft. Round to the nearest foot.

Studdy Solution

STEP 1

Assumptions1. The volume of the prism is given by the formula $V=lwh$ , where $l$ is the length, $w$ is the width, and $h$ is the height of the prism. . We are asked to solve the formula for $w$ .
3. In the second part, we are given that the volume of the prism is504 cubic feet, the length is7 feet, and the height is12 feet. We are asked to find the width of the prism.

STEP 2

To solve the formula for $w$ , we need to isolate $w$ on one side of the equation. We can do this by dividing both sides of the equation by $lh$ .
$w = \frac{V}{lh}$

STEP 3

Now, we can use this formula to find the width of the prism in the second part of the problem. Plug in the given values for the volume, length, and height to calculate the width.
$w = \frac{504}{7 \times12}$

STEP 4

Perform the multiplication in the denominator.
$w = \frac{504}{84}$

STEP 5

Calculate the width of the prism.
$w = \frac{504}{84} =$ The width of the prism is feet, rounded to the nearest foot.

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