Volume of a Rectangular Prism
To solve for the volume of a rectangular prism, we could use the following formula:
[tex]V=l*w*h[/tex]
- V = volume
- l = length
- w = width
- h = height
Although we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.
Solving the Question
We're given:
- V = 1144 ft³
- l = 8 ft
- h = 13
- We must solve for the width of the box
First, rearrange the volume formula to isolate width (w):
[tex]V=l*w*h[/tex]
⇒ Divide both sides by [tex]l*h[/tex]:
[tex]\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}[/tex]
⇒ Plug in the given values for V, l and h:
[tex]w=\dfrac{1144}{8*13}\\\\w=11[/tex]
Therefore, the box is 11 ft wide.
Answer
The box is 11 ft wide.
