Question

The dimensions in inches of a shipping box can be expressed as width x, length x+1, and height x-4. The volume is 84ft sq. Find the dimensions of the box in feet.

1,1,4
2,2,21
2,6,7
3,4,7

Answer 1

x (x + 1) (x - 4) = 84 // Solve
x -> 6
{ x, (x+1), (x-4) } /. x->6
{6, 7, 2}

Answer 2

\[x(x+1)(x-4)=84\]
as two dimensions are x ,x+1
so options with consecutive numbers are 3,4 and 6,7
plug in these one by one and see which satisfies it.

Answer 3

x-4>0
x>4