The volume of a square pyramid can be calculated using the formula: V = (1/3) * base area * height
First, we need to find the base area of the square pyramid. Since it has equal sides, the base area can be calculated by squaring one of the sides:
Base area = 18 cm * 18 cm = 324 cm^2
Now, we need to find the height of the pyramid using the slant height. We can find the height by using the Pythagorean theorem:
Height = sqrt(slant height^2 - (base edge/2)^2)
Height = sqrt(15 cm^2 - 9 cm^2)
Height = sqrt(216)
Height ≈ 14.7 cm
Now we can calculate the volume of the square pyramid:
V = (1/3) * 324 cm^2 * 14.7 cm
V ≈ 483.6 cm^3
Therefore, the volume of the square pyramid is approximately 483.6 cm^3.
what is the volume of a square pryamid with base edhes of 18cm and a slant height of 15cm
3 answers
What is the correct answer
I apologize for the mistake in the calculations earlier. Let's correct the calculation:
Base area = (18 cm)^2 = 324 cm^2
Height = sqrt((15 cm)^2 - (9 cm)^2)
Height = sqrt(225 cm^2 - 81 cm^2)
Height = sqrt(144 cm^2)
Height = 12 cm
Now we can calculate the volume of the square pyramid:
V = (1/3) * base area * height
V = (1/3) * 324 cm^2 * 12 cm
V = 1296 cm^3
Therefore, the correct volume of the square pyramid with base edges of 18 cm and a slant height of 15 cm is 1296 cm^3.
Base area = (18 cm)^2 = 324 cm^2
Height = sqrt((15 cm)^2 - (9 cm)^2)
Height = sqrt(225 cm^2 - 81 cm^2)
Height = sqrt(144 cm^2)
Height = 12 cm
Now we can calculate the volume of the square pyramid:
V = (1/3) * base area * height
V = (1/3) * 324 cm^2 * 12 cm
V = 1296 cm^3
Therefore, the correct volume of the square pyramid with base edges of 18 cm and a slant height of 15 cm is 1296 cm^3.