Question

Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work.(2 points

make a common mistake that will get the wrong answer

Answer 1

make sure you get the wronganswer

Answer 2

Surface area = base area + (1/2) * perimeter of base * slant height

Base area = 12^2 = 144
Perimeter of base = 4 * 12 = 48

So, Surface area = 144 + (1/2) * 48 * 18
= 144 + 432
= 576

Common mistake: Calculating the perimeter of the base as 2 * 12 instead of 4 * 12, resulting in a perimeter of 24 and therefore a wrong surface area calculation.

Answer 3

Surface area = base area + (1/2) * perimeter of base * slant height

Base area = 12^2 = 144
Perimeter of base = 2 * 12 = 24

So, Surface area = 144 + (1/2) * 24 * 18
= 144 + 216
= 360

Therefore, the wrong answer is 360.