To rearrange the formula to highlight the quantity of interest, we can divide both sides of the equation by the length and height of the cabinet:
V = lwh
Dividing both sides by lh:
V/(lh) = (lwh)/(lh)
Simplifying:
V/(lh) = w
Therefore, the formula for the width (w) of the cabinet in terms of volume (V), length (l), and height (h) is:
w = V/(lh)
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.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=lwh , rearrange the formula to highlight the quantity of interest. Note that volume is represented with a capital V in the formula.(1 point)
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