In a playground, there is a model of the old school building that is 6.6 feet long, 3.3 feet wide, and 4.6 feet high. If the real building was 80 feet long and 40 feet wide, how high was it?
Cross multiply and solve for x.
6.6/80 = 4.6/x
I did that, and got 368.0, and then made that 3680 and divided that by 66 and got 57.57575757...
80 * 4.6 = 368
368 / 6.6 = 55.7575
so close... I must have messed up somewhere. Thanks!
To find the height of the real building, we can use a proportional relationship between the model and the real building.
First, we need to determine the scale factor between the model and the real building for the length. We can do this by dividing the length of the real building by the length of the model:
Scale Factor (Length) = Length of Real Building / Length of Model
= 80 feet / 6.6 feet
Next, we need to determine the scale factor between the model and the real building for the width. We can do this by dividing the width of the real building by the width of the model:
Scale Factor (Width) = Width of Real Building / Width of Model
= 40 feet / 3.3 feet
Since the model's height is already given, we don't need a scale factor for it.
Now, we can use the scale factors to find the height of the real building. We multiply the model's height by the scale factor (Length) and by the scale factor (Width):
Height of Real Building = Height of Model * Scale Factor (Length) * Scale Factor (Width)
= 4.6 feet * (80 feet / 6.6 feet) * (40 feet / 3.3 feet)