A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by… — Answer & Discussion

A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?

A1 : 8 : 27
B1 : 7 : 19
C1 : 8 : 20
D1 : 1 : 1

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CCommunity07 Jul 2019

1 : 7 : 19

CCommunity14 May 2020

Heights of the three parts from Top will be in ratio 1:2:3..Therefore Volume from top will be in the ratio 1:8:27..

Therefore volumes of Top part will be 1unit

Second Part will be (8-1=7)unit

Third part will be{27-(1+8)=19)unit

So Ratio will be 1:7:19....Hope U all will like it