A
cuboid
of
dimensions a x b C,
with a < b < c, has to
be cut into two equal
parts across one of
its sides. Which side
should be chosen to
get
maximum
increase in surface
area?
Answers
Answered by
1
Answer:
ACuboidwithdimensiona,bandc
Then,volumeofcuboid=a×b×c
V=abccuunit→(i)
andsurfaceareaofcuboid=
S=2×ab+2b×c+2c×a
S=2(ab+bc+ca)sq.unit→(ii)
divideequation(ii)by(i)
⇒
V
S
=2[
abc
ab
+
abc
bc
+
abc
ca
]
⇒
V
S
=2[
c
1
+
a
1
+
b
1
]
∴
V
1
=
5
2
[
A
1
+
B
1
+
C
1
]Ans.
Step-by-step explanation:
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