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 su
rface area of the cube
2 answers:
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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 = ![\sqrt[3]{512}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B512%7D)
= 8 cm
The cube has 6 square faces, hence
surface area = 6 × 8² = 6 × 64 = 384 cm²
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