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?
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 ÷ 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.