NumericalEasy1 mark
9(c)
A model of a ship is made to a scale 1 : 300
The volume of the model in 6.5 m³. Calculate the volume of the ship.
Topic: Similarity / scale / maps and models
Previous-year question practice database
Answer
Exam answer
Volume scale model : actual = 1³ : 300³ = 1 : 27,000,000.
Model volume = 6.5 m³.
Actual ship volume = 6.5 × 27,000,000 = 175,500,000 m³.
Answer: 175,500,000 m³.
Explanation
Volumes of similar solids vary as the cube of the linear scale factor.
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