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If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?

Correct answer: A. 4:3

  • A. 4:3
  • B. 16:9
  • C. 64:27
  • D. 3:4

Explanation

The space diagonal of a cube with side s is s√3, so the common factor √3 does not change the ratio. If the side lengths are in the ratio 4:3, the diagonals are 4√3:3√3 = 4:3. Students may choose 16:9, option b, by squaring the side ratio even though a diagonal is directly proportional to the side.

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