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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

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

How does the volume of a prism compare to the volume of the pyramid with the same base and height?

The volume of the prism is three times as much as that of the prism.


If the volume of a prism is 999 square inches what is the volume of a pyramid with the same base?

If the VOLUME is 999 SQUARE inches then you have gone wrong. SQUARE inches are a measure of AREA VOLUME is measured in CUBIC units. Assuming you meant The volume of a prism is 999 CUBIC inches, then the volume of a pyramid with the same height is indeterminate (cannot be given), as there is NO INDICATION of how the height of the pyramid relates to the height of the prism. So, ASSUMING you mean the volume of a prism is 999 CUBIC inches AND the HEIGHT of the pyramid is the same as the height of the prism, then the volume of the pyramid is one third that of the prism, ie 999 cu in ÷ 3 = 333 CUBIC inches.


How are the volumes of right pyramid and right cone related to the volume of a right prism and right cylinder?

The volume of the pyramid and cone is one third the volume of the corresponding (ie same [size] base and height) prism and cylinder.


How do the volume formulas for right prismsand pyramids differ?

Volume of a prism = cross-section area*length Volume of a pyramid = 1/3*base area*height


How do you find the volume of a triangle prism?

Volume of a triangular prism = (1/2.b.h)Hb = base of the triangleh = height of the triangleH = height of the actual prism. = multiplied byThe volume of a prism is volume equals base times height. You have to know the base and height to find the volume.


How does the volume of the pyramid compare to the prism with equal dimensions?

Vol(Pyramid) = 1/3*Vol(Prism)


What happens to the volume of a rectangular prism if you double the height?

The volume of a rectangular prism would double if you double the height.


How are the volumes of cones and pyramids related to the volumes of prisms and cylinders?

A cone is 1/3 of the volume of a cylinder with the same base and height. A pyramid is 1/3 of the volume of a prism with the same base and height.


How do you find base area of rectangular prism if you know volume and height?

Volume of a rectangular prism = base x height. If volume and height are known, solve for base area by dividing volume by height.


Volume of trapezoidal prism?

To find the volume of a rectangular prism, multiply the base, width, and height. If the prism is irregularly shaped, multiply the base and the height.


What relationship does the volume of a prism have to the volume of a pyramid?

(5/6)ABH


How do you find the volume of a rectangular prism relates to the volume of a tringular prism if the two have the same lengthwidthand height?

The volume of a rectangular prism is found by; Volume = Length x Width x Height The volume of a triangular prism is found by; Volume = 1/2 x Length x Width x Height Therefore, Length, Width and Height being identical, 1) the volume of a rectangular prism is twice that of a similar triangular prism OR 2) the colume of a triangular prism is half that of a similar rectangular prism.