Three cubesof sides 3 cm ,4 cm,5 cm are melted and a new is formed find the side of the new cube
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hey
The side of new cube will be 6cm
volume of 1st cube = 3 x 3 x 3 = 27
volume of 2nd cube = 4 x 4 x 4 = 64
volume of 3rd cube = 5 x 5 x 5 = 125
volume of new cube = 27 + 64 + 125 = 216
a^3 = 216
a^3 = 6^3
a = 6
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Solution :-
Given : Three cubes of sides 3 cm, 4 cm, 5 cm are melted and a new is formed.
Find the side of the new cube :-
Area of new cube = Sum of the area of three cubes
=> (side)³ = (3)³ + (4)³ + (5)³
=> (side)³ = 27 + 64 + 125
=> (side)³ = 216
=> (side)³ = 6³
=> side = 6
Hence,
The side of the new cube = 6 cm
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