ACT Math · Ratios, rates, and percents
A model building is built at a scale of 1:50. If the model is 8 centimeters tall, how tall is the actual building, in meters?
A model building is built at a scale of 1:50. If the model is 8 centimeters tall, how tall is the actual building, in meters?
Answer and explanation
Answer: B: 4
A scale means every length on the building is times its length on the model. The model is cm tall, so the building is cm tall. Convert to meters by dividing by : meters, choice B. Choice D () leaves the answer in centimeters, though the question asks for meters. Choice C () divides by instead of . Choice A () divides by . A four-meter building is short but reasonable for a model of a small structure, and the answer must be in the unit requested.
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