Question

Find the unknown dimensions.
A plastic storage container has a width of one foot longer than the height. The length is four feet longer than the height. The volume is 36 cubic feet. Find the dimensions of the container.

x= height
x+4= length
x+1 = width
Please help!!

Answer 1

Volume = Length x Width x Height

Answer 2

@DanJS So its Volume = x+4*x+1 *x

Answer 3

yes

Answer 4

ok thanks

Answer 5

set that = to 36, and solve for x, the height, from that you get the other width and length

Answer 6

ok, so 36= x+4*x+1*x

Answer 7

yes, but those are quantities

36 = (x+4)*(x+1)*x

Answer 8

The way you wrote it , it is the same as - x + 4x + x = 6x, not true

Answer 9

you can solve it conventional ways, but if it is a whole number x as the height, the factors of 36 are:

2 * 3 * 6 = x * (x+1)*(x+4)

Answer 10

that should make it easier

Answer 11

ok

Answer 12

i sort of get it now

Answer 13

you could multiply all that out and get

36 = x^3 + 5x^2 + 4x

and solve that way

Answer 14

or

36 = 2 * 3 * 6 = x*(x+1)*(x+4)

Answer 15

2 * 3 * 6 = x *( x+1)*(x+4) = 2*(2+1)*(2+4)

Answer 16

just because it is a "nice" problem from a book, the answer is a nice whole number

Answer 17

thanks