Three cubes of sides 3 cm,4 cm and 5 cm respectively are melted and formed into a larger cube. What is the side of the cube formed
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Side of cube = 3 cm
Volume = side^3 = 3^3 = 27cm^3
Side of cube = 4 cm
Volume = 4^3 = 64cm^3
Side of cube = 5cm
Volume = 5^3 = 125cm^3
The cubes are melted and formed into a larger cube.
Volume of larger cube = Sum of volume of 3 small cubes.
=> 27+64+125
=>216cm^3
So,
Volume of larger cube = 216cm^3
(Side)^3 = 216
Side of Larger cube = 3√216 =>6 cm
Cheers!!
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And your answer is 6cm which is the cube root of 216cm^3
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