Question

VOLUME A standard shipping box measures x inches high. The width is 3.5 inches more than the height, and the length is 3 inches less than the height. The volume of the box is 561 cubic inches.

Answer 1

To solve for the volume of the shipping box, we need to determine the values of the height, width, and length of the box. The volume of the box is 561 cubic inches, and the height of the box is approximately 8.28 inches.

Step-by-step explanation:

The subject of this question is Mathematics.

To solve for the volume of the shipping box, we need to determine the values of the height, width, and length of the box. Let's use x to represent the height.

Based on the given information, we have the following equations:

• Width = x + 3.5 inches
• Length = x - 3 inches
• Volume = x * (x + 3.5) * (x - 3) = 561 cubic inches

Solving the equation, we find the height of the box is approximately 8.28 inches.

Answer 2

62.333 inches

Step-by-step explanation:

To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:

x*3.5*3=561 cubic inches

To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187

To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.

We are left with x = 62.333 inches.

Therefore, the height of the box is 62.333 inches