A right pyramid with square base has side of base 12 cm and height 40 cm. It is kept on its base. It is cut into 4 parts of equal heights by 3 cuts parallel to its base. What is the ratio of volume of the four parts?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1 : 7 : 19 : 37
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Application |
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The ratio of volumes of 4 different pyramids AXY, APQ, AST and ALM will be proportional to the cube of heights = 33 : 63 : 93 : 123 = 1 : 8 : 27 : 64 Hence, Ratio of volumes of 4 parts = 1 : (8 – 1) : (27 – 8) : (64 – 27) = 1 : 7 : 19 : 37 |
