GCEPhysicsMeasurement and Units2023

A rectangular metal block measures 4.0 cm × 2.5 cm × 1.5 cm. If the mass of the block is 135 g, what is the density of the metal?

A$4.5 \ \text{g cm}^{-3}$CORRECT
B$9.0 \ \text{g cm}^{-3}$
C$3.0 \ \text{g cm}^{-3}$
D$6.0 \ \text{g cm}^{-3}$
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
Volume = 4.0 × 2.5 × 1.5 = 15.0 cm³. Density = mass/volume = 135/15.0 = 9.0 g cm⁻³. Wait — rechecking: 4.0 × 2.5 = 10.0, × 1.5 = 15.0 cm³; 135/15 = 9.0 g cm⁻³, so the correct answer is B.
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