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Question
A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
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Solution
The correct option is B 48
If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8. Weight is proportional to volume. So, if the first weighs 6 pounds, the second weighs 6 × 8 pounds =48.
48
If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8. Weight is proportional to volume. So, if the first weighs 6 pounds, the second weighs 6 × 8 pounds =48.
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