Father's family is buying a new cabinet for their home the height of the cabinet is 5 feet it's awake it's four feet in the volume is 60 ft cubed they need to know the width of the cabinet to make sure it will fit

1 answer

To find the width of the cabinet, we can use the formula for the volume of a rectangular prism (the shape of the cabinet), which is given by:

\[ \text{Volume} = \text{Height} \times \text{Width} \times \text{Length} \]

Inserting the values we know:

  • Volume = 60 cubic feet
  • Height = 5 feet
  • Length (assuming it's the other dimension instead of width) = 4 feet

We need to solve for the width (let's denote it as \(w\) for simplicity). Rearranging the formula, we have:

\[ w = \frac{\text{Volume}}{\text{Height} \times \text{Length}} \]

Substituting the values into the equation:

\[ w = \frac{60}{5 \times 4} \]

Calculating the denominator:

\[ 5 \times 4 = 20 \]

Now substituting this back into the equation:

\[ w = \frac{60}{20} = 3 \]

Thus, the width of the cabinet is 3 feet.