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UPSC CDS Math Volume and Surface Area Questions
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© examsnet.com
Question : 100
Total: 104
A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54
c
m
2
Which one of the following is correct ?
[2014 CDS-I]
Both cube and cuboid can be painted
Only cube can be painted
Only cuboid can be painted
N either cube nor cuboid can be painted
Validate
Solution:
Total surface area of cube
=
6
a
2
=
6
×
(
b
)
2
=
24
cm
2
Total surface area of cuboid
=
2
(
l
b
+
b
h
+
h
l
)
=
2
(
1
×
2
+
2
×
3
+
3
×
1
)
=
22
c
m
2
Therefore, total area to be painted
=
24
+
22
=
46
c
m
2
<
54
c
m
2
Thus, both cube and cuboid can be painted.
© examsnet.com
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