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8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 6228 Points
3 months ago
Volume of the original cube = (12)s ema = 1728 ems. Volume of one small cube = 1728 cm3 = 216 ems. -- 8 Side of small cube = 216 cm = 6 cm. Surface area of the original cube Surface area of a small cube 6(12>2 4 = 6(6)2 = 1 Hence, the requiled ratio is 4 : 1.

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