Mathematics for IGCSE & O level - Similarity (Section 3 - No. 2)
A model of a building is made to a scale of 1:50. If a room in the model has dimensions 7.4cm by 9.8cm by 6.5cm, calculate the actual volume
234.89 m³
1728.7 m³
1174400 m³
1710000 m³
Explanation
Volume of model = 7.4 * 9.8 * 6.5 = 471.34 cm³. Volume scale factor = 50^3 = 125000. Actual volume = 471.34 * 125000 = 58917500 cm³ = 58.9175 m³. Incorrect options due to scaling the wrong measurements before multiplying.
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