CMS Dimensional Analysis & Metric Calculations

Question 1

Dimensional analysis is primarily used to:

Accepted Answer

Verify unit consistency and convert between units

Answer

Dimensional analysis checks that equations are dimensionally consistent and converts quantities from one unit system to another.

Question 2

How many millimetres are in 2.5 metres?

Accepted Answer

2,500

Answer

One metre equals 1,000 mm, so 2.5 m × 1,000 mm/m = 2,500 mm.

Question 3

Convert 5 kilometres to centimetres:

Accepted Answer

500,000 cm

Answer

5 km × 1,000 m/km × 100 cm/m = 500,000 cm.

Question 4

A container holds 3,500 mL. How many litres is that?

Accepted Answer

3.5 L

Answer

3,500 mL ÷ 1,000 mL/L = 3.5 L.

Question 5

A force of 500 N acts over an area of 0.25 m². What is the pressure in pascals?

Accepted Answer

2,000 Pa

Answer

Pressure = Force ÷ Area = 500 N ÷ 0.25 m² = 2,000 Pa.

CMS - Certified Metrication Specialist Practice Test