Claudia’s family is buying a new cabinet for their home. The height of the cabinet is 5 ft., its length is 4 ft., and its volume is 60 ft.360 ft.3. They need to know the width of the cabinet to make sure that it will fit in the space where they want to put it. Using the volume formula, V=lwhV=lwh, rearrange the formula to highlight the quantity of interest. Note that volume is represented with a capital VV in the formula.(1 point)

Question

Ansewr this: w= __/__

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Answer 1

To find the width \( w \) of the cabinet using the volume formula \( V = lwh \), we need to rearrange the equation to solve for \( w \).

Starting with the formula: \[ V = lwh \]

We can rearrange it to isolate \( w \): \[ w = \frac{V}{lh} \]

Now, substituting the height (\( h = 5 \) ft) and the length (\( l = 4 \) ft) into the formula, we have: \[ w = \frac{V}{l \times h} = \frac{V}{4 \times 5} \]

Thus, the answer can be written as: \[ w = \frac{V}{20} \]

Given that the volume \( V = 60 \) ft³, we can also calculate it: \[ w = \frac{60}{20} = 3 \] ft.

So the final rearranged answer for your question is: \[ w = \frac{V}{lh} \]