The dimensions in inches of a shipping box at we ship 4 you can be expressed as width x, length x + 5, and height 3x – 1. the volume is about 7.6 ft3. find the dimensions of the box in inches. round to the nearest inch.

If you would like to find the dimensions of the box in inches, you can calculate this using the following steps:

width ... x inches
length ... (x + 5) inches
height ... (3 * x - 1) inches

volume ... 7.6 ft³
1 foot = 12 inches
7.6 ft³ = 13132.80 in³

volume = width * length * height
13133 = x * (x + 5) * (3 * x - 1)
13133 = (x^2 + 5 * x) * (3 * x - 1)
13133 = 3 * x^3 - x^2 + 15 * x^2 - 5 * x
13133 = 3 * x^3 + 14 * x^2 - 5 * x
0 = 3 * x^3 + 14 * x^2 - 5 * x - 13133
1. x ≈ 14.972 ≈ 15
2.x ≈ -9.820 + 13.998 * i
3. x ≈ -9.820 - 13.998 * i

width ... x inches = 15 inches
length ... (x + 5) inches = 15 + 5 = 20 inches
height ... (3 * x - 1) inches = 3 * 15 - 1 = 45 - 1 = 44 inches

The dimensions of the box are 15 inches, 20 inches and 44 inches.