Dimensional Analysis Worksheet - 20 Conversion Problems

Convert between units of time, distance, volume, and mass using the dimensional analysis (factor-label) method.

Chain multiple conversion factors together to solve multi-step unit conversion problems.

Apply dimensional analysis to real-world scenarios, including cost calculations and quantity-to-package conversions.

Model problem 1 (converting a 5K race to miles) as a single-step conversion before assigning the later multi-step problems, since the set increases in complexity.

Use problem 20, the multi-part hamburger cookout scenario, as a culminating or group problem, since it requires converting four separate ingredient quantities into whole packages purchased.

Have students show every conversion factor and cancelled unit in their work, matching the fully worked format shown in the answer key, rather than jumping to a final numeric answer.

Unit conversion via dimensional analysis — students chain conversion factors together, cancelling units, to solve distance, time, volume, and mass conversions.

Real-world quantity conversion — students apply dimensional analysis to practical scenarios like cost-per-ounce pricing and packages-needed calculations.

Scientific notation application — students convert a quantity given in scientific notation (1.0 x 10^6 minutes) into days.