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BECE Mathematics 2022 Objective — Question 54

Question 54 of 120 from the Basic Education Certificate Examination (Junior WAEC) (BECE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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The linear scale factor of two similar shapes is 4/5. If the volume of the bigger shape is 500cm³, determine the volume of the smaller shape.

  • A. 64cm³
  • B. 125cm³
  • C. 215cm³
  • D. 256cm³Correct
  • E. 320cm³

Explanation

Volume scale factor = (4/5)³ = 64/125. Smaller volume = 500 × 64/125 = 256 cm³.

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