Question

Three metallic solid cubes whose edges are 3 cm, 4cm, and 5 cm are metalled and formed into a single cube . find the edge of the cube so formed

Answer 1

Volume of cubes = Volume of new cube.
a³+a³+a³ = A³
A³ = 3³+4³+5³
A³ = 27+64+125
A =
$\sqrt[3]{216}$
A = 2*3 = 6cm.

Answer 2

hey !!

volume of cube = a³

1: volume of cube +2: volume of cube + 3; volume of cube

=> 3³ + 4³ +5³

=>27 + 64 + 125

=> 216

volume of new cube = a³

=> a³ = 216

=> a =3√216

=> edge of new cube = 6cm

hope it helps !!

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