If a solid cube of
total surface area 'S'
is cut into 64
identical cubes, by
what value would
the total surface
area increase?
Answers
Answered by
6
Answer:
Step-by-step explanation:
Total surface area of a cube of edge a =6a
2
Let side of cube A be A and side of cube B be B.
Given 6A
2
=
100
64
×6B
2
=>A=
10
8
B
Volume of a cube =side
3
Hence, Volume of cube A $$ = {A}^{3} ={(\dfrac{8}{10} B)}^{3} = \dfrac{512}{1000}{B}^{3} $$
Volume of cube A =B
3
Given,
1000
512
B
3
= k % ×B
3
=> k % =
1000
512
=>k=
1000
512
×100=51.2
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