Question

a box is to be made out of a rectangular piece of cardboard that is 11 inches wide and 18 inches long. squares x inches on a side are cut out of the corners and the sides are bent upwards. c. write a simplified expression for the outside surface area of the box. (note that the box does not have a top.) the outside surface area of the box is (square) in². (type an expression using x as the variable.)

Explanation:

Step1: Find the original area of the cardboard

The original area of the rectangular - cardboard is $A_{original}=11\times18 = 198$ square inches.

Step2: Find the area of the four cut - out squares

Each cut - out square has an area of $x\times x=x^{2}$ square inches. Since there are 4 cut - out squares, the total area of the cut - out squares is $A_{cut - out}=4x^{2}$ square inches.

Step3: Calculate the outside surface area of the box

The outside surface area of the box (without a top) is the original area of the cardboard minus the area of the four cut - out squares. So, $A = 198-4x^{2}$.

Answer:

$198 - 4x^{2}$