Mensurations

Remember the following and see some examples.
1) (side ratio)2 = area ratio
2) (side ratio)3 = volume ratio
3) Rise in water level = volume of matter / base area
4) Cone similar to cone, quadrilateral similar to quadrilateral. 
(same similar to same)









Answer : B












A is similar to B.
Now, A has 27 sections.
Since B accounts for 1 section, C accounts for the remaining 26 sections.
Thus, the ratio is 1:26.



















Answer : D














A is similar to B.
B has 27 sections and A accounts for 1 section. That means there are 26 sections left for filling in water. Now, 1 section accounts for 10 ml. Thus, 26 sections account for 260 ml.































Answer : D








A, A+B and A+B+C are similar but not A,B and C. A,B and C are not in the same shape. And, the remaining steps are similar to the last two questions.
























Answer : C
















Set some variables may help. And, remember the ratio of side to area to volume.

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