The scale statement for the height of a building is 1:63. If a model of the building is 50 cm tall, how tall is the building?
37.8 m
25.2 m
1.3 m
31.5 m
The scale statement states that 1 unit on the model represents 63 units on the actual building. Therefore, to find the height of the building, we can set up the following proportion:
Model height / Actual height = Scale
Using the values given, we have:
50 cm / Actual height = 1/63
To solve for the actual height, we can cross-multiply:
50 cm * 63 = Actual height
The actual height of the building is 3150 cm.
Converting this to meters gives us:
3150 cm = 31.5 m
Therefore, the correct answer is 31.5 m.