Question

21. Juanita is packing a box that is 18 inches long and 9 inches high. The total volume of the box.1,944 cubic inches. Use the formula V = lwh to find the width of the box. Show your work

Answer 1

The width of the box is 12 inches

Explanations:

The formula for calculating the volume of a rectangular box is expressed as:

`V=\text{lwh}`

where:

• l is the ,length ,of the box

,

• w is the ,width, of the box

,

• h is the ,height ,of the box

Given the following parameters

• length = 18 inches

,

• heigh = 9 inches

,

• volume = 1,944 cubic inches

Substitute the given parameters into the formula to calculate the width of the box as shown:

`\begin{gathered} 1944=18* w*9 \\ 1944=162w \end{gathered}`

Divide both sides by 162 to have:

`\begin{gathered} 162w=1944 \\ \frac{\cancel{162}w}{\cancel{162}}=(1944)/(162) \\ w=12\text{inches} \end{gathered}`

Hence the width of the box is 12 inches