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)
Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
1
The answer is partially correct. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Some work is shown or explained.
0 The question is not answered.
First, we calculate the total surface area of the square pyramid using the formula:
Total Surface Area = Base Area + 4 * (1/2 * Base Perimeter * Slant Height)
Base Area = side^2 = 12^2 = 144
Base Perimeter = 4 * side = 4 * 12 = 48
Total Surface Area = 144 + 4 * (1/2 * 48 * 18)
Total Surface Area = 144 + 4 * (24 * 18)
Total Surface Area = 144 + 4 * 432
Total Surface Area = 144 + 1728
Total Surface Area = 1872
Therefore, the surface area of the square pyramid is 1872.