Q. 23.8( 5 Votes )

# 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?

Answer :

Let the volume of first pyramid be V_{1}

Let the base edge of first pyramid be a_{1}

Let the height of first pyramid be h_{1}

Let the volume of second pyramid be V_{2}

Let the area of first pyramid be a_{2}

Let the height of first pyramid be h_{2}

We know that,

Volume of a pyramid

Volume of a first pyramid

Volume of a second pyramid

Given: V_{1} = V_{2}

….(1)

Given:

Substitute in (1)

⇒ h_{2} = 4h_{1}

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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?

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