Given the formula for the volume of a box, V=lwh, which equation best represents the remaining units when justifying your rearrangement to solve for the width?
Responses
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in.=in.
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in.3=in.3
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in.3/in.2=in.
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in.3/in.2=in.3in.2
The equation in.=in.
The equation that best represents the remaining units when rearranging the formula V=lwh to solve for the width is:
in.3/in.2 = in.
The correct equation that represents the remaining units when rearranging the formula V = lwh to solve for the width (w) is:
in.^3 / in.^2 = in.
Explanation:
To rearrange the formula V = lwh to solve for the width (w), we need to isolate the variable w by dividing both sides of the equation by the other two variables, l and h.
In the given formula, V represents the volume of the box, which is measured in cubic inches (in.^3).
Since V is in cubic inches, the units for l and h must also be in inches (in.).
When we divide both sides of the equation V = lwh by lh, we are essentially canceling out the units of length, leaving us with just the units for the width (w).
So, the units remaining on the left-hand side of the equation are in.^3 (cubic inches) divided by in.^2 (square inches), which equals in. (inches).
Therefore, the correct equation is: in.^3 / in.^2 = in.