Question

Three metal cubes whose edge measures 3cm,4cm,5cm respectively are melted to form a single cube . Find tne edge of the cube

Answer 1

=> Volume of all three cubes = Volume of Single cube.

This is because when we change a shape of anything its Volume doesn't change, we can say that Law of Conservation of Volume.

$= > {3}^{3} + {4}^{3} + {5}^{3} = v$

$= > 216 \: {cm}^{3} = v$

Now,

Volume of Cube = 216 cm^3 [This is the Volume of New cube].

$= > {a}^{3} = 216 \: {cm}^{3}$

$= > a \: = \sqrt[3]{216}$

$= > a \: = 6 \: cm \:$


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Answer 2

hey here is your answer

EDGE OF LARGEST CUBE IS 6CM

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