if the ratio of the volumes of two cubes is 1:8 then find the ratio of the total surface areas of the two cubes.
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Given :-
Ratio of volume = 1:8
To Find :-
Ratio of TSA
Solution :-
We know that
Volume of cube = a³
Let the side be a and a'
a³/a'³ = 1/8
a/a' = ∛1/∛8
a/a' = 1/2
Now
Surface area of cube = 6a²
SA/SA' = 6(1)²/6(2)²
SA/SA' = 6 × 1/6 × 4
SA/SA' = 6/24
SA/SA' = 1/4
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