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I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.

The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)

I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.

The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)

I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.

The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)

I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.

The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)

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14y ago

I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.

The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)

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Q: How was the formula for the volume of a pyramid developed?
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The formula for the volume of a cone is most like the formula for the volume of which figure?

The formula for a pyramid. The volume of a pyramid is (1/3)(B)(h). The volume of a cone is essentially the same: (1/3)(B=πr2)(h)


What is the formula for the volume of a regular pyramid?

The volume of a regular pyramid is 1/3*area of the base*hight


Who invented the formula for the volume of a pyramid?

heron


What is the formula for finding the volume for a triangular pyramid?

The formula for finding the volume for a triangular pyramid is half base x height x length. A triangular pyramid has four faces.


How do you convert the volume of a prism into the volume of a pyramid that has the same base area and height?

formula of the volume of a prism = (base area)(height) formula of the volume of a pyramid = (1/3)(base area)(height) therefore, to convert the volume of a prism to that of a pyramid, just divide it by 3


What is formula of a rectangle based pyramid?

The answer depends on the what characteristic of the pyramid you want the formula for: its surface area, its volume or something else.


How is the relationship between formula of volume of a cone and formula of volume of a cylinder related to the relationship between the formula of volume of a pyramid and formula of volume of a prism?

The relationship between the formulas is that in all the radius is cubed.


How do you find the volume of a triangular pyramid?

The formula to find the volume of a triangular pyramid is: 1/3 (1/2 B H ) H


What is volume of rectangle pyramid of base 12m5m and height 9m?

Formula for volume of pyramid is 1/3*base area*height Formula for area of rectangle (in this case the base) is length*breadth So, the volume of the pyramid is 1/3*12*5*9=180m3


What is the formula in finding the volume of the pyramid?

Volume = 1/3*base area*perpendicular height


What is the general formula for finding the volume for a pyramid?

Volume = 1/3*base area*height


What is the formula for the volume of a pyramid with base area B and height h?

Volume of a pyramid in cubic units: 1/3*base area*height