Volume Of A Pyramid
Assuming the pyramid has a square base, find the area of the base by squaring the edge. Reynard the fox story. Multiply the area by the height of the pyramid, then divide by 3. Volume of a Pyramid. No description.
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Why 1/3 in the volume formula for a pyramid? - Math CentralMath CentralQuandaries & QueriesFrom Becky:why is the formula for finding the volume of a pyramid divide by 3?Hi Becky,The volume of a pyramid is 1/3 × (the area o the base) × (the height). I don't know an intuitive way to demonstate why the fraction 1/3 appears. It follows from a much more general result that Bruce mentioned at the bottom to.
I can show you in one particular case why the 1/3 appears.If the pyramid has a square base with side length x and the height of the pryamid is x/2 then you can put 6 of these pyramids together to form a cube as in the diagram below.The volume of the cube is x 3 and hence the volume of the pyramid is 1/6 x 3. But1/6 x 3 = 1/3 × x 2 × (1/2 x) = 1/3 × (the area of the base) × (the height).Penny. Registered trade mark of Imperial Oil Limited. Used under license.Math Central is supported by the University of Regina and the Imperial Oil Foundation.