The base edges of two square pyramid are in the ratio 1 : 2 and their heights are in the ratio 1 : 3. The volume of the first pyramid is 180 cubic centimetres. What is the volume of the second?

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Solution

Let the base edge of the first and the second pyramid be x units and 2x units respectively.

Let the height of the first and the second pyramid be y units and 3y units respectively.

Base area of the first pyramid = (x units)² = x² sq. units

Base area of the second pyramid = (2x units)² = 4x² sq. units

Volume of square pyramid = Base area × Height

∴ Volume of the first pyramid =

Volume of the second pyramid =

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