Answer :
Final answer:
The minimum number of square inches of cardboard needed to make a box with dimensions of 8 inches in length, 11 inches in height, and 2 inches in width is 252 square inches. This is calculated by finding the surface area of each side and summing them up.
Explanation:
To determine the minimum number of square inches of cardboard needed to make a box with a length of 8 inches, a height of 11 inches, and a width of 2 inches, we need to calculate the surface area of the box.
The box has 6 sides: 2 sides with dimensions 8x11 inches (length x height), 2 sides with dimensions 11x2 inches (height x width), and 2 sides with dimensions 8x2 inches (length x width).
We calculate each pair of sides' areas and then sum them up:
Area of the two largest sides: 2 × (8 in × 11 in) = 2 × 88 in² = 176 in²
Area of the two medium sides: 2 × (11 in × 2 in) = 2 × 22 in² = 44 in²
Area of the two smallest sides: 2 × (8 in × 2 in) = 2 × 16 in² = 32 in²
Add all the areas together to find the total surface area:
176 in² + 44 in² + 32 in² = 252 in²
Thus, the minimum number of square inches of cardboard needed is 252 square inches.
