Q--the volumes of two cubes are in ratio 64:27,then the ratio of their surface areas is:-
(a)3:4 (b)4:3 (c)9:16 (d)16:9
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Volume of two cubes V1:V2 = 64:27
That is a1³ : a2³ = 43 : 33
⇒ a1 : a2 = 4 : 3
Therefore, a1 / a2 = 4 / 3
Ratio of surface areas is 6a1² : 6a2²
= a1² : a2²
= (a1 / a2)²
= (4 / 3)²
= 16 : 9
That is a1³ : a2³ = 43 : 33
⇒ a1 : a2 = 4 : 3
Therefore, a1 / a2 = 4 / 3
Ratio of surface areas is 6a1² : 6a2²
= a1² : a2²
= (a1 / a2)²
= (4 / 3)²
= 16 : 9
AdityaKashyap458:
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