Q2 of 35 Page 197

Two square pyramids have the same volume. The base edge of one is half that of the other. How many times the height of the second pyramid is the height of the first?

Let the volume of first pyramid be V1

Let the base edge of first pyramid be a1


Let the height of first pyramid be h1


Let the volume of second pyramid be V2


Let the area of first pyramid be a2


Let the height of first pyramid be h2


We know that,


Volume of a pyramid


Volume of a first pyramid


Volume of a second pyramid


Given: V1 = V2


….(1)


Given:


Substitute in (1)



⇒ h2 = 4h1


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