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.(1 point) w = ?/?

Answer 1

To find the width (w) of the cabinet using the volume formula \( V = lwh \), we can rearrange the formula to solve for width.

Starting with the equation:

\[ V = lwh \]

We can solve for \( w \) by dividing both sides of the equation by \( lh \):

\[ w = \frac{V}{lh} \]

So the rearranged formula highlighting the quantity of interest (width) is:

\[ w = \frac{V}{lh} \]

Answer 2

No bot, 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. What is the answer in fraction form?

Answer 3

To find the width \( w \) using the volume formula \( V = lwh \), where:

• \( V \) = volume
• \( l \) = length
• \( h \) = height

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

1. Start with the original formula: \[ V = lwh \]

2. Rearrange the formula to isolate \( w \): \[ w = \frac{V}{lh} \]

Given the values:

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

Substituting these values into the rearranged formula: \[ w = \frac{60}{4 \cdot 5} \]

Calculating the denominator: \[ 4 \cdot 5 = 20 \]

Now substitute back: \[ w = \frac{60}{20} \]

This simplifies to: \[ w = 3 \]

So the width of the cabinet is \( 3 , \text{ft} \).

In fraction form, the width can also be expressed as: \[ w = \frac{3}{1} \]