Question

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 and the space where they went to put it using the volume formula of the equals length times width width times height rearrange the formula to highlight the quantitative interest note that the volume is represented with a capital v in volume

Answer 1

To find the width of the cabinet using the volume formula, we start with the formula for the volume of a rectangular prism:

\[ V = L \times W \times H \]

Where:

• \( V \) = volume
• \( L \) = length
• \( W \) = width
• \( H \) = height

In this case:

• The volume \( V = 60 , \text{ft}^3 \)
• The height \( H = 5 , \text{ft} \)
• The width \( W \) is what we want to find.
• The length \( L \) can be inferred as \( 4 , \text{ft} \) (the weight mentioned seems to be a typo; let's assume it refers to length).

Rearranging the volume formula to find width \( W \):

\[ W = \frac{V}{L \times H} \]

Next, we can plug the known values into this formula:

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

Calculate the product in the denominator:

\[ 4 \times 5 = 20 \]

Now, substituting this into the equation for width:

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

So, the width of the cabinet is:

\[ \boxed{3 , \text{ft}} \]

This means the cabinet's dimensions are 4 feet in length, 3 feet in width, and 5 feet in height, making it suitable for the designated space in their home.