Question

A right rectangular box has a volume of 1144 ft.³. The box is 8 feet long and 13 feet high. How wide is the box?

Answer 1

(A) 11 ft.

Explanation:

got it right

Answer 2

Volume of a Rectangular Prism

To solve for the volume of a rectangular prism, we could use the following formula:

`V=l*w*h`

• 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):

`V=l*w*h`

⇒ Divide both sides by
`l*h`:

`(V)/(l*h)=(l*w*h)/(l*h)\\\\(V)/(l*h)=w\\\\w=(V)/(l*h)`

⇒ Plug in the given values for V, l and h:

`w=(1144)/(8*13)\\\\w=11`

Therefore, the box is 11 ft wide.

Answer

The box is 11 ft wide.