Question

question 14 of 25
engineers who work for a museum are designing a scale model of the
continent of antarctica using a scale of 1:10,000,000. if antarctica is about
5,300 km (5,300,000 m) across, how wide will the model be?

a. 0.53 m

b. 5.3 m

c. 0.00053 m

d. 53,000 m

Explanation:

Step1: Recall scale model formula

The scale is \(1:10,000,000\), meaning \(1\) unit on model = \(10,000,000\) units in real. Let \(x\) be model width. So \(\frac{x}{5,300,000\,\text{m}}=\frac{1}{10,000,000}\).

Step2: Solve for \(x\)

Multiply both sides by \(5,300,000\): \(x = \frac{5,300,000}{10,000,000}\,\text{m}\). Simplify: \(x = 0.53\,\text{m}\).

Answer:

A. 0.53 m