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CMAT 2019 Solved Question Paper
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© examsnet.com
Question : 19
Total: 100
The length, breadth and height of a rectangular cuboid are in the ratio 1: 2 : 3. If the length, breadth andheight are increased by 100% each then what would be the increase in the volume of the cuboid ?
8 times
7 times
10 times
9 times
Validate
Solution:
Consider the length
=
x
,
breadth
=
2
x
and
height
=
3
x
∴ Volume of the cuboid = length × breadth × height
=
x
×
2
x
×
3
x
=
6
x
3
According to the question,
New, length
=
2
x
,
breadth
=
4
x
and
height
=
6
x
∴ New volume
=
2
x
×
4
x
×
6
x
=
48
x
3
∴
Increase in volume
=
48
x
3
−
6
x
3
6
x
3
=7 times
© examsnet.com
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