SAT Ratios, rates, proportional relationships, and units Practice Question 8 (Hard)

Question bank / Ratios, rates, proportional relationships, and units

Math · Problem-Solving and Data AnalysisHard

A solid metal cube has a mass of $1{,}728$ grams. The metal has a density of $8$ grams per cubic centimeter. What is the edge length of the cube, in millimeters? ( $1$ centimeter $= 10$ millimeters)

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Answer: 60

Volume equals mass divided by density: $\frac{1728}{8} = 216$ cubic centimeters. The edge length is $\sqrt[3]{216} = 6$ centimeters. Converting, $6$ centimeters is $6 \times 10 = 60$ millimeters.

Answering $6$ gives the edge length in centimeters and skips the final conversion to millimeters.

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