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.
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Answer 1

7th grade answer

Answer 2

The formula to calculate the surface area of a square pyramid is:

Surface area = base area + (0.5 x perimeter of base x slant height)

First, calculate the base area:
Base area = 12 x 12 = 144

Next, calculate the perimeter of the base:
Perimeter of base = 4 x base length = 4 x 12 = 48

Now, plug in the values into the surface area formula:
Surface area = 144 + (0.5 x 48 x 18)
Surface area = 144 + (0.5 x 864)
Surface area = 144 + 432
Surface area = 576

Therefore, the surface area of the square pyramid is 576 square units.

Answer 3

To find the surface area of a square pyramid, you can use the formula:

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

Given that the base length is 12 and the slant height is 18, we can first calculate the base area:

Base area = length x width
Base area = 12 x 12
Base area = 144 square units

Next, calculate the perimeter of the base:
Perimeter of base = 4 x base length
Perimeter of base = 4 x 12
Perimeter of base = 48

Now, plug in the values into the surface area formula:
Surface area = 144 + (1/2 x 48 x 18)
Surface area = 144 + (1/2 x 864)
Surface area = 144 + 432
Surface area = 576 square units

Therefore, the surface area of the square pyramid is 576 square units.