Question

a solid cube of Edge 20 cm is melted and cast into a cuboid whose base measures 25 CM by 27 cm find the height of the cuboid

Answer 1

Volume of cube = (20)^3 = 8000 cm^3
It is melted and cast into a cuboid, So their Volume is same.
Volume of Cube = Volume of Cuboid
8000 cm^3 = 25 x 27 x height
Height = 8000/(25 x 27) = 11.85185 cm

Answer 2

The volume of cube = volume of cuboid
Because they are melted

Here, edge = 20 cm
Base measure = 25 * 27 cm

Volume of cube = a³
And cuboid = l*b*h

Therefore a³ = l*b*h
= 20³ = 25 * 27 * h
8000 = 675 *h
H = 8000/675 = 11.85

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