Question

What is the side of the cube formed by melting three cubes of edges 6 cm, 8 cm, and 10 cm?

Answer 1

volume of a cube
${side}^{3}$

therefore
$( {6}^{3} + {8}^{3} + {10}^{3} ) \\ (216 + 512 + 1000) \\ (1728)$
as the cube is formed by melting down these 3 cubes

so

$volume of the cube= {side}^{3} =1728 m^3 \\ \\ side = \sqrt[3]{1728} \\ \\ side \: or \: edge = 12$





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