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UPSC CDS 1 2021 Math Paper
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© examsnet.com
Question : 75
Total: 100
A metal solid cube of edge 24 cm is melted and made into three small cubes. If the edge of two small cubes are 12 cm and 16 cm, then what is the surface area of the third small cube?
1200 cm
2
1800 cm
2
2400 cm
2
3600 cm
2
Validate
Solution:
👈: Video Solution
let the edge of third cube is h, and the volume of the cube remains constant
24
3
=
12
3
+
16
3
+
h
3
h
3
=
24
3
−
12
3
−
16
3
=
4
3
(
6
3
−
3
3
−
4
3
)
=
4
3
(
125
)
h
=
4
×
5
=
20
c
m
Now, the surface area of the third cube
=
6
h
2
=
6
×
400
=
2400
c
m
2
© examsnet.com
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