The formula for the surface area of a square pyramid is:
Surface Area = Base Area + (1/2 x Perimeter of Base x Slant Height)
First, let's find the base area:
Base Area = (length of base)^2 = 24^2 = 576 cm^2
Next, let's find the slant height. We can use the Pythagorean theorem, since we know the height (16 cm) and half the length of the base (12 cm):
slant height^2 = height^2 + (1/2 x length of base)^2
slant height^2 = 16^2 + 12^2
slant height^2 = 256 + 144
slant height^2 = 400
slant height = 20 cm
Now we can plug in the values to find the surface area:
Surface Area = 576 + (1/2 x 4 x 20 x 24)
Surface Area = 576 + 960
Surface Area = 1536 cm^2
Therefore, the answer is option 2.
Find the surface area of a square pyramid with a base length of 24 cm and height of 16 cm
1. 1056 cm2
2. 1536 cm2
3. 816 cm2
4. 1344 cm2
1 answer
1 answer