F.4 Maths

2014-04-21 10:43 pm

Workers are building a solid pyramid. Its shape is aregular square pyramid, and the height of each level is the same.1. Find the ratio of volumes between the 2nd to4th floors and the whole pyramid.2. Find he ratio ofvolumes between the 2nd to 4th floors and the 1st floor.

回答 (1)

2014-04-22 3:03 am
✔ 最佳答案
Assume the pyramid has 4 floors only and let the height of each floor is h.
So height of the pyramid is 4h. Height from 2nd floor to 4th floor is 3h.
Volume between 2 to 4th floor : Volume of whole pyramid = (3h)^3 : (4h)^3
= 27 : 256.
Volume between 2 to 4 floor : Volume of 1st floor = 27 : (256 - 27) = 27 : 229.


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