A model of a building was made at a scale of 1:15. If the model has dimensions of 2.4 m by 4.8 m by 1.8 m, what are the dimensions of the building?

39.6 m by 86.4 m by 29.7 m

36 m by 72 m by 27 m

32.4 m by 57.6 m by 24.3 m

43.2 m by 100.8 m by 20.3 m

To find the dimensions of the building, we need to multiply the dimensions of the model by the scale factor of 1:15.

The scale factor of 1:15 means that 1 unit on the model represents 15 units in the real building.

So, multiplying the dimensions of the model (2.4 m by 4.8 m by 1.8 m) by 15 gives:

2.4 m * 15 = 36 m
4.8 m * 15 = 72 m
1.8 m * 15 = 27 m

Therefore, the dimensions of the building are 36 m by 72 m by 27 m.

So the answer is:
36 m by 72 m by 27 m.