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NTSE Stage 2 SAT 2016 Question Paper
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© examsnet.com
Question : 52
Total: 100
A solid metallic block of volume one cubic metre is melted and recast into the form of a rectangular bar of length 9 metres having a square base. If the weight of the block is 90 kg and biggest cube is cut off from the bar, then the weight of the cube is :
6
1
3
‌
kg
5
2
3
‌
kg
4
2
3
‌
kg
3
1
3
‌
kg
Validate
Solution:
Volume of metallic block = 1
m
3
...(1)
let the each side of the square base is x m
So, volume of the rectangular bar =
x
2
×
9
...(2)
9
x
2
=
1
⇒
x
2
=
1
9
⇒
x
=
1
3
m
Side of cube possible
=
1
3
m
Side of cube possible=weight of block ×
(
1
3
)
3
=
90
×
1
27
=
10
3
‌
kg
=
3
1
3
‌
kg
so the weight of a cube is
3
1
3
‌
kg
© examsnet.com
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