If two pyramids have the same height, what must be true of the pyramids for them to also have the same volume

If two pyramid have the same height , for volume to be the same the base area of the pyramids should be equal

Step-by-step explanation:

Volume of a pyramid is given by;

where l is length of base, w is width of base, and h is height of base

If two pyramid have the same height , for volume to be the same the base area of the pyramids should be equal

The base area= l×w

For example if we have two pyramids A and B with the following properties;

A= height= x , length=l₁ and width = w₁

B= height=x, length=l₂ and width = w₂

Then the volume of the two pyramid will be the same if;

l₁*w₁=l₂*w₂

Thus

V₁= (l₁*w₁*x )/3  = (l₂*w₂*x)/3

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step-by-step explanation:

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