Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is
(a) 1:3
(b) 1:8
(c) 1:9
(d) 1:18
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Answer:
Volume of first cube = a
3
(a is side length)
Volume of second cube = 6
3
(6 is side length)
6
3
a
3
=
27
1
=(
3
1
)
3
3a=b.
Ratio of surface area =
6b
2
6a
2
=(
b
a
)
2
=(
3a
a
)
2
=1:9
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