Question

1. a model of a skyscraper is 1.6 inches long, 2.8 inches wide, and 11.2 inches high. the scale factor is 8 inches = 250 feet. what are the actual dimensions of the skyscraper?

Explanation:

Step1: Find scale conversion factor

First, calculate the feet per inch: $\frac{250}{8} = 31.25$ feet/inch

Step2: Calculate actual length

Multiply model length by conversion factor: $1.6 \times 31.25 = 50$ feet

Step3: Calculate actual width

Multiply model width by conversion factor: $2.8 \times 31.25 = 87.5$ feet

Step4: Calculate actual height

Multiply model height by conversion factor: $11.2 \times 31.25 = 350$ feet

Answer:

The actual dimensions of the skyscraper are 50 feet long, 87.5 feet wide, and 350 feet high.