NumericalModerate1.5 marks
7(b)
The model of a building is constructed with the scale factor 1 : 30.
If the height of the model is 80 cm, find the actual height of the building in meters.
Topic: Similarity / scale / maps and models
Previous-year question practice database
Answer
Exam answer
x = 2400 cm = 24 m.
Explanation
Height of model = × Actual height of the building = 30 × 80 cm = Actual height of the building Actual height of the building = 2400 cm = 24 m OR 1: 30 = 80 : x (where x is the actual height of the building) ∴ x = 2400 cm = 24 m. Used correctly in height or volume
More from Similarity (With Applications to Maps and Models)
If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is:2026Prove that : ΔADE ~ ΔABC and hence find DE : BC.2026Prove : ΔDFE ~ ΔCFB2026Given, area of ΔDFE = 16 square units, find the area of ΔCFB.2026In the given diagram ΔABC ∼ ΔEFG. If ∠ABC = ∠EFG = 60°, then the length of the side FG is:2025Prove that ΔABC ~ ΔAED.2025