Question

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.

Answer 1

To find the dimensions of the box in inches, set up the equation (width)(length)(height) = 7.6 * 12³ and substitute the expressions for width, length, and height. Simplify the equation and solve for x. Using the given expressions for the dimensions, the box will have a width of 2x inches, a length of (x + 5) inches, and a height of (3x - 1) inches.

Step-by-step explanation:

To find the dimensions of the box in inches, we need to solve for x in the given expressions for the width, length, and height. The volume of the box is given as 7.6 ft³, and we can convert this to cubic inches by multiplying by 12³. Set up the equation (width)(length)(height) = 7.6 * 12³ and substitute the expressions for width, length, and height. Simplify the equation and solve for x.

Using the given expressions for the dimensions, the box will have a width of 2x inches, a length of (x + 5) inches, and a height of (3x - 1) inches.