An aquarium has a rectangular base that measures 100 cm by 40 cm and

Question

An aquarium has a rectangular base that measures 100 cm by 40 cm and has a height of 50 cm. It is filled with water to a height of 40 cm. A brick with a rectangular base that measures 40 cm by 20 cm and a height of 10 cm is placed in the aquarium. By how many centimeters does the water rise?

(A) 0.5
(B) 1
(C) 1.5
(D) 2
(E) 2.5

(A) 0.5 
(B) 1 
(C) 1.5 
(D) 2 
(E) 2.5

Archit3110 · Answer

total area of aquarium base = 4000 cm^2
and brick vol= 8000cm^3
height of water rises by 8000/4000= 2
IMO D

ankitahyd2013 · Answer

Volume of aquarium which is filled upto height of 40cm=100*40*40=>160000
Volume of rectangular brick=40*20*10=>8000
Now when the brick is kept inside aquarium filled with water upto the height of 40 cm ,there will be displacement of water which will be refelected in the level rise of water
Level rise of water=(160000+8000)*40/160000
total Level rise=42
water rise=42-40=>2
IMO-D

m1033512 · Answer

IMO D .

let the water level will raise by h cm
then Volume of the brick = 100*40*h

which gives h = 2

Posted from my mobile device

wishalsp333 · Answer

An aquarium has a rectangular base that measures 100 cm by 40 cm and has a height of 50 cm. It is filled with water to a height of 40 cm. A brick with a rectangular base that measures 40 cm by 20 cm and a height of 10 cm is placed in the aquarium. By how many centimeters does the water rise?

(A) 0.5
(B) 1
(C) 1.5
(D) 2
(E) 2.5

(A) 0.5 
(B) 1 
(C) 1.5 
(D) 2 
(E) 2.5

This is interesting question, here is how i solved it.

Volume of rectangular base with water = 100 * 40 * 40 = 1,60,000
Volume of brick = 40 * 20 * 10 = 8000.

For 1,60,000 --> 40 cms
 8,000 --> ?
 8000 * 40 / 1,60,000 = 2

Answer is D

bumpbot · Answer

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An aquarium has a rectangular base that measures 100 cm by 40 cm and

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An aquarium has a rectangular base that measures 100 cm by 40 cm and

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