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.
