NumericalModerate1.5 marks
7(b)
The model of a building is constructed with the scale factor 1 : 30.
If the actual volume of a tank at the top of the building is 27 m³, find the volume of the tank on the top of the model.
Topic: Similarity / scale / maps and models
Previous-year question practice database
Answer
Exam answer
Scale model:actual = 1:30.
Volume scale = 1:30³ = 1:27,000.
Actual tank volume = 27 m³ = 27,000,000 cm³.
Model volume = 27,000,000/27,000 = 1,000 cm³.
Answer: 1,000 cm³.
Explanation
Volumes of similar solids vary as the cube of the linear scale factor.
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