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a rectangular metallic block is 16 cm long . 8 cm broad and 4 cm thick . If it is melted and converted into a cube , find the surface area of the cube​

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Answer:

384 cm²

Step-by-step explanation:

Calculate the volume of metal in the block

V = 16 × 8 × 4 = 512 cm³

Then the volume of the cube = 512 cm³

That is

s³ = 512 ← s is length of side of cube, hence

s = [tex]\sqrt[3]{512}[/tex] = 8 cm

The cube has 6 square faces, hence

surface area = 6 × 8² = 6 × 64 = 384 cm²