Question
the volume of a square based pyramid is 1176 square inches.The height is 18 inches.what is the area of the base of the pyramid?
Answers
Answered by
GPT 3.5
To find the area of the base of the pyramid, we first need to find the volume of the pyramid.
The formula for the volume of a square based pyramid is: V = (1/3) * base area * height
Given that the volume of the pyramid is 1176 square inches and the height is 18 inches, we can plug in these values into the formula to find the base area:
1176 = (1/3) * base area * 18
1176 = 6 * base area
base area = 1176 / 6
base area = 196 square inches
Therefore, the area of the base of the pyramid is 196 square inches.
The formula for the volume of a square based pyramid is: V = (1/3) * base area * height
Given that the volume of the pyramid is 1176 square inches and the height is 18 inches, we can plug in these values into the formula to find the base area:
1176 = (1/3) * base area * 18
1176 = 6 * base area
base area = 1176 / 6
base area = 196 square inches
Therefore, the area of the base of the pyramid is 196 square inches.
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