Question

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? 

A 1 : 8 : 27 Correct Answer Incorrect Answer
B 1 : 7 : 19 Correct Answer Incorrect Answer
C 1 : 8 : 20 Correct Answer Incorrect Answer
D None of These Correct Answer Incorrect Answer

Solution

Total height = 9 Each part = 3 Ratio of area Top : Middle : Bottom (Base)2 × h : (Base)2 × h : (Base)2 × h 42 × 3 : 42 × 3 : 42 × 3 1 : 1 : 1

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