College Math Placement Test College Math Placement Measurement 3

Question 1

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is its volume? (Use π ≈ 3.14)

Accepted Answer

141.3 m³

Answer

Volume = πr²h = 3.14 × 9 × 5 = 141.3 m³.

Question 2

Which measurement is the most precise?

Accepted Answer

5.000 meters

Answer

More decimal places indicate greater precision; 5.000 meters has four significant figures.

Question 3

A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

Accepted Answer

175 miles

Answer

Actual distance = 3.5 × 50 = 175 miles.

Question 4

Convert 45°F to Celsius using the formula C = (F − 32) × 5/9.

Accepted Answer

7.2°C

Answer

C = (45 − 32) × 5/9 = 13 × 5/9 = 65/9 ≈ 7.2°C.

Question 5

What is the volume of a rectangular box that is 4 ft long, 3 ft wide, and 2 ft tall?

Accepted Answer

24 ft³

Answer

Volume = l × w × h = 4 × 3 × 2 = 24 ft³.

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