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

(1 pt) ~2,6,7~

Explanation:

Answer 2

The volume of a box is (width)(length)(height).
V = W*L*H
Plug in all the information we have:
84 ft^3 (incorrectly written as ft sq in the question)
84 ft^3 = (x)(x+1)(x-4) = (x)(x^2-3x-4) = x^3 - 3x^2 - 4x.
Next, think of the factors of 84. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The value is x = 6.
(6)(6+1)(6-4) = (6)(7)(2) = 84