Tick (✓) the correct answer:

Question:

Tick (✓) the correct answer:

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is

(a) 12 cm

(b) 14 cm

(c) 16 cm

(d) 18 cm

Solution:

(a) $12 \mathrm{~cm}$

Total volume $=6^{3}+8^{3}+10^{3}=216+512+1000=1728 \mathrm{~cm}^{3}$

$\therefore$ Edge of the new cube $=\sqrt[3]{1728}=12 \mathrm{~cm}$

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