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Question

Nidhi constructed a square pyramid of base edge 10 cm and height 6 cm. Rahul made a square pyramid of base edge 5 cm and height 24 cm. What is the ratio of the volumes of the pyramids constructed by Nidhi and Rahul?

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Solution

The volume of a square pyramid of base edge 'l' cm and height 'h' cm = 13×l2×h
Given,
the base edge of Nidhi's pyramid = 10 cm
the height of Nidhi's pyramid = 6 cm
Thus, the volume of Nidhi's pyramid = 13×102×6
the base edge of Rahul's pyramid = 5 cm
the height of Rahul's pyramid = 24 cm
Thus, the volume of Rahul's pyramid = 13×52×24
Ratio of the volumes=13×102×613×52×24=1:1

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