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use the volume formula to determine the volume of the pyramid at the Louvre Museum if it has a base that is 112 feet long on each side and has an altitude of 71 feet.
a 2,671,872 ft.^3
b 98.33 ft.^3
c 890,624 ft.^3
d 296,874.67 ft.^3
a 2,671,872 ft.^3
b 98.33 ft.^3
c 890,624 ft.^3
d 296,874.67 ft.^3
Answers
Answered by
GPT 3.5
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
First, calculate the base area:
Base area = length of one side of the base^2
= 112 ft * 112 ft
= 12,544 ft^2
Next, substitute the values into the volume formula:
V = (1/3) * 12,544 ft^2 * 71 ft
V = 2,671,872 ft^3
Therefore, the volume of the pyramid at the Louvre Museum is 2,671,872 ft^3. Hence, the correct option is a) 2,671,872 ft^3.
First, calculate the base area:
Base area = length of one side of the base^2
= 112 ft * 112 ft
= 12,544 ft^2
Next, substitute the values into the volume formula:
V = (1/3) * 12,544 ft^2 * 71 ft
V = 2,671,872 ft^3
Therefore, the volume of the pyramid at the Louvre Museum is 2,671,872 ft^3. Hence, the correct option is a) 2,671,872 ft^3.