Since we want to know how much wrapping paper he used in square centimeters, we want to figure the total surface area of the gift box.
Since it is a square pyramid, the triangles of the sides are all congruent, and the base is a square.
So, tha area of the square base is the multiplication of its sides, which are equal:
[tex]A_s=9.3\cdot9.3=86.49[/tex]
For the triangles, we can clauclate the area of one of them and multiply by 4 to get the area of all. The area of a triangle is its base multiplyed by its height divided by 2. The height is given and the base is the same as the square sides. So the area of 1 triangle is:
[tex]A_t=\frac{9.3\cdot9.6}{2}=44.64[/tex]
So, the tota area is the area of the square plus 4 times the area of one triangle:
[tex]A=86.49+4\cdot44.64=86.49+178.56=265.05[/tex]
This is already in the proper unit, so the area is 265.05 cm².
