Question

The volume of the loading space on a moving truck is 432 cubic feet. The length of the truck is (x+6) feet. The width of the truck is x feet, and

the height is 6 feet. What is the actual length and width of the truck?

Answer 1

length=12ft

width=6ft

Explanation:

The volume formula is V=lwh.

Plug the values into the equation like this: 432=(x+6)(x)(6)

Divide both sides of the equation by 6: 72=(x+6)(x)

Distribute the x:
`72=x^(2) +6x`

Subtract the 72:
`0=x^(2) +6x-72`

Factor: 0=(x+12)(x-6)

x=-12

x=6

Now, plug in x into the original length and width equations.

length: (6+6)

length=12

width=6