A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
A) 2 : 1 B) 3 : 2 C) 25 : 18 D) 27 : 20
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Answer:
bro this is your ANSWER
Step-by-step explanation:
Let x be the edge of the large cube.
x
3
=3
3
+4
3
+5
3
⇒x
3
=27+64+125=216
⇒x=
3
216
=6cm
∴ Required ratio =
Surface area of larger cubes
Total surface area of smaller cubes
=
6(6)
2
6(3)
2
+6(4)
2
+6(5)
2
=
6×36
6×9+6×16+6×25
=
216
54+96+150
=
216
300
=
18
25
=25:18
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