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.
To find the width of the cabinet, we need to rearrange the formula to solve for w (width).
The volume formula is V = lwh
To isolate w, divide both sides by (lh):
w = V / (lh)
Therefore, the quantity of interest, in this case, is the width (w).
To highlight the quantity of interest, we need to rearrange the volume formula, V=lwh, to solve for the width w.
The volume formula, V=lwh, can be rearranged as follows:
V = lwh
Divide both sides of the equation by lh:
V / (lh) = (lwh) / (lh)
Simplify:
V / (lh) = w
Therefore, the width of the cabinet can be calculated by dividing the volume (V) by the product of the height (h) and length (l).
To find the width of the cabinet, we need to rearrange the volume formula, V = lwh, to solve for the width (w).
First, let's rewrite the formula with the variables on one side and the quantity of interest on the other side.
V = lwh
To solve for the width (w), we want to isolate w. Start by dividing both sides of the equation by lh:
V / (lh) = (lwh) / (lh)
This simplifies to:
V / (lh) = w
So the equation to find the width is:
w = V / (lh)
Now we can plug in the given values to find the width.
The volume (V) is given as 60 ft³, the length (l) is given as 4 ft, and the height (h) is given as 5 ft.
Substituting these values into the equation, we get:
w = 60 ft³ / (4 ft * 5 ft)
Now, we can further simplify the equation to find the width of the cabinet:
w = 60 ft³ / (20 ft²)
w = 3 ft
Therefore, the width of the cabinet is 3 feet.