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A covered wooden box has the inner measure as 115cm 75cm and 35cm and the thickness of wood is 2.5cm. The volume of the wood is____________?

Correct answer: C. 82125cu.cm

  • A. 81000cu.cm
  • B. 81775cu.cm
  • C. 82125cu.cm
  • D. None of these

Explanation

The outer dimensions are (115 cm + 5 cm) × (75 cm + 5 cm) × (35 cm + 5 cm) = 120 cm × 80 cm × 40 cm, because the 2.5 cm thickness occurs on both sides. Outer volume = 384,000 cm3 and inner volume = 115 cm × 75 cm × 35 cm = 301,875 cm3, so wood volume = 384,000 cm3 − 301,875 cm3 = 82,125 cm3. The likely wrong choice is 81,775 cm3, caused by adding the thickness incorrectly to one or more dimensions.

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