Question

two cubes of side one centimetre each, 4 cubes of Side 2 cm each, one cube of side 3 cm each and one cube of 4 cm can be melted to form a cube of side(answer should be explained)

Answer 1

hey dear
here is your answer ☞

==============

⭐ case 1
side of cube = 1 cm
volume of cube = 1³ = 1 cm³
as there are 2 cubes so, volume of both the cubes = (2) (1) = 2 cm³

case 2
side of cube = 2 cm
volume of cube = 2³ = 8 cm³
for 4 cubes = (8) (4) = 32 cm³

case 3
side of cube = 3cm
volume of cube = 3³ = 27 cm³

case 4
side of cube = 4 cm
volume = 4³ = 64 cm³

Adding all the volumes = 2 + 32 + 27 + 64 = 125 cm³

Now,
volume of cube = 125 cm³
side of cube = ³√125 = 5 cm

so the side of cube is 5 cm. ⭐

hope it helps ^_^