Q:

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

Accepted Solution

A:
Answer:If two pyramid have the same height , for volume to be the same the base area of the pyramids should be equalStep-by-step explanation:Volume of a pyramid is given by;[tex]V=l*w*h /3[/tex] where l is length of base, w is width of base, and h is height of baseIf two pyramid have the same height , for volume to be the same the base area of the pyramids should be equalThe base area= l×wFor 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 = w₂Then the volume of the two pyramid will be the same if;l₁*w₁=l₂*w₂ThusV₁= (l₁*w₁*x )/3  = (l₂*w₂*x)/3