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Ajith

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by shashank.ism » Wed Feb 10, 2010 11:33 pm
Ajith needed to calculate the volume of a rectangular room. He multiplied the length and the breadth correctly but the breadth had been incorrectly jotted down, it was one-third larger than what it should have been. To compensate for this, he reduced the height by one-third, then multiplied it on. He figured this was okay since the breadth was equal to the height. He then found his volume was off by 20 m3. What was the actual volume?


A) 160
B) 120
C) 210
D) 159
E) none
Ans E
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by harsh.champ » Wed Feb 10, 2010 11:35 pm
shashank.ism wrote:Ajith needed to calculate the volume of a rectangular room. He multiplied the length and the breadth correctly but the breadth had been incorrectly jotted down, it was one-third larger than what it should have been. To compensate for this, he reduced the height by one-third, then multiplied it on. He figured this was okay since the breadth was equal to the height. He then found his volume was off by 20 m3. What was the actual volume?


A) 160
B) 120
C) 210
D) 159
E) none
Ans E

Actual Volume = L*B*H. Given, L*B*H - L*4/3B*2/3H = 20 => 1/9*LBH = 20


Hence, [spoiler]choice (e) is the correct option[/spoiler]
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by ajith » Thu Feb 11, 2010 8:23 am
shashank.ism wrote:Ajith needed to calculate the volume of a rectangular room. He multiplied the length and the breadth correctly but the breadth had been incorrectly jotted down, it was one-third larger than what it should have been. To compensate for this, he reduced the height by one-third, then multiplied it on. He figured this was okay since the breadth was equal to the height. He then found his volume was off by 20 m3. What was the actual volume?


A) 160
B) 120
C) 210
D) 159
E) none
Ans E
Well, my name features in the question, how generous!

LBH -L*4/3B*2/3H = 20

1/9 LBH = 20

Original volume LBH = 180
[spoiler]
E[/spoiler]
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