The surface area of the box is bigger than the surface area of the available wrapping paper. Thus, you don't have enough wrapping paper to wrap the gift box.
The given parameters;
- area of the wrapping paper available, A = 275 square inches
- volume of the gift box, V = 343 in²
First, determine the length of each side of the box;
The length of each side is represented with x;
x³ = 343
[tex]x = \sqrt[3]{343} \\\\x = 7 \ inches[/tex]
Second, find the surface area of the box;
surface area of the box, A = 6x²
A = 6(7)²
A = 294 in²
The surface area of the box is bigger than the surface area of the available wrapping paper. Thus, you don't have enough wrapping paper to wrap the gift box.
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