Question

mitch wanted to mail a handmade wooden box to a friend. the box was 11 inches long, 6 inches wide, and 4 inches high. to safely mail the box, mitch wrapped the entire box with a layer of styrofoam that is x inches thick. the total volume of the box and the styrofoam can be represented by the expression (11 + 2x)(6 + 2x)(4 + 2x). what does the quantity 6 + 2x represent in the expression? the perimeter of the base of the box the surface area of the wooden box the volume of the styrofoam that mitch used the width of the package after the box was wrapped in styrofoam

Explanation:

The original box has a width of 6 inches. The styrofoam layer is x inches thick, and it wraps the entire box, so it adds x inches to both sides of the width. This total added thickness is 2x, so 6 + 2x is the total width of the wrapped package. The other options are incorrect: perimeter is a linear measurement of a shape's edge, surface area is a 2D measurement, and the volume of styrofoam would be the total volume minus the box's volume, not this expression.

Answer:

the width of the package after the box was wrapped in styrofoam