AFCT Arithmetic Reasoning Test 2025 – 400 Free Practice Questions to Pass the Exam

To find the height of the actual cathedral based on the height of the miniature model, we can use the scale factor given in the problem. The miniature model is built at a scale of 1/250th the size of the actual cathedral. This means that the actual cathedral is 250 times taller than the miniature.

Given that the height of the miniature cathedral is 1.2 inches, we can calculate the actual height by multiplying the height of the miniature by the scale factor:

Actual Height = Miniature Height × Scale Factor

Actual Height = 1.2 inches × 250

Now performing the multiplication:

Actual Height = 1.2 × 250 = 300 inches.

Thus, the actual cathedral is 300 inches tall. The answer aligns with the reasoning behind using the scale to determine proportional heights, demonstrating how to apply a scale factor in real-world applications, such as models or diagrams.