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

Question

. 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

Answer 1

To find the width of the cabinet using the volume formula, we start with the original volume formula:

\[ V = l \times w \times h \]

Where:

• \( V \) is the volume,
• \( l \) is the length,
• \( w \) is the width,
• \( h \) is the height.

To solve for the width (\( w \)), we need to rearrange the formula. We can do this by dividing both sides of the equation by \( l \times h \):

\[ w = \frac{V}{l \times h} \]

Now, substituting the values for \( V \), \( l \), and \( h \):

Given:

• \( V = 60 , \text{ft}^3 \)
• \( l = 4 , \text{ft} \)
• \( h = 5 , \text{ft} \)

We can calculate \( w \):

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

Calculating the denominator:

\[ 4 \times 5 = 20 \]

Now substituting back into the width formula:

\[ w = \frac{60}{20} = 3 , \text{ft} \]

Therefore, the width of the cabinet is 3 ft.

Answer 2

incorrect

Answer 3

Let’s go through the calculations step by step again to ensure accuracy.

We start with the volume formula:

\[ V = l \times w \times h \]

Given:

• Volume (\( V \)) = 60 ft³
• Length (\( l \)) = 4 ft
• Height (\( h \)) = 5 ft

We need to rearrange the formula to solve for width (\( w \)):

\[ w = \frac{V}{l \times h} \]

Now, substituting in the values for \( V \), \( l \), and \( h \):

1. Calculate \( l \times h \): \[ l \times h = 4 , \text{ft} \times 5 , \text{ft} = 20 , \text{ft}^2 \]

2. Now substitute back into the equation for width: \[ w = \frac{60 , \text{ft}^3}{20 , \text{ft}^2} \]

3. Calculate the width: \[ w = \frac{60}{20} = 3 , \text{ft} \]

I reaffirm that the calculation is correct; the width of the cabinet is indeed 3 ft. If there might be additional context or information that wasn't considered, please let me know!

Answer 4

We dont need you to simplify it bot, we need the bot to give us the formula and the fraction