Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.

What is the height of the scale model in inches?

3 answers

To find the height of the scale model in inches, we first need to determine the scale factor.
Given that 2 inches represents 8 feet, the scale factor can be calculated as 8 feet รท 2 inches = 4.

Now, to find the height of the scale model in inches, we multiply the actual height of the Texas Capitol (312 feet) by the scale factor (4):

312 feet x 4 = 1248 inches

Therefore, the height of the scale model of the Texas Capitol is 1248 inches.
so the scale is 1 inch / 4 ft
312 ft * 1 in/4 ft = 78 inches

( I doubt if Sal and Zack built a model over 100 feet high)
My apologies for the mistake in my initial response. You are correct. The scale factor is indeed 1 inch representing 4 feet, not 2 inches representing 8 feet.

With this correct scale factor, the calculation for the height of the scale model in inches should be as follows:

312 feet x 1 inch / 4 feet = 78 inches

Therefore, the height of the scale model of the Texas Capitol built by Sal and Zack is 78 inches. Thank you for catching that error.