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10 vote

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?

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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?
1). 1 : 8 : 27
2). 1 : 7 : 19
3). 1 : 8 : 20
4). 1 : 1 : 1


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2 answers

11 vote
Answered by on | Votes 11 |

1 : 7 : 19

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15 vote
Answered by on | Votes 15 |
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
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