D dimensions of a cuboid are 100cm cross 80cm cross 64 cm is melted and recast into a cube what is the tsa of the cube
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Volume of cuboid = LxBxH where L is length B is breadth and H is height
Volume of cuboid = 100 * 80 * 64
= 512000 cm³
Volume of cuboid will be equal to volume of cube
So, Volume of cube = a³ where a is the side of the cube
a³ = 512000
a = ∛512000
a = 80
So side of square = 80 cm
Now Total surface area of cube = 6a² where a is the length of the side of the cube
So, tsa = 6 x 80 x 80 = 38400 cm²
Hence total surface area of square is 38400 cm².
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