Find the mass of an object with a density of 3.97 g/cm3 and a volume of 120 cm3.

Question

BlackTom AI · Accepted Answer

We start by identifying the relationship between mass, density, and volume: mass = density × volume. Here, density = 3.97 g/cm3 and volume = 120 cm3.

Compute the product: 3.97 × 120 = (3.97 × 100) + (3.97 × 20) = 397 + 79.4 = 476.4 g. This is the exact mass, expressed in grams.

Now evaluate each answer option:
- Option 1: 480 g. This is close to 476.4 g, but it overestimates by 3.6 g, which is an error of about 0.76%. The discrepancy arises from rounding to the nearest ten or from a rough estimate, not from the exact calculation.
- Option 2: 30.23 g. This value is far from 476.4 g; it would correspond to a mass if either volume or density were an order of magnitude smaller, which is not the case here. It shows a miscalculation or misplacement of decimal places.
- Option 3: 476 g. This is the closest to the precise 476.4 g and corresponds to rounding the exact result to the nearest gram. It reflects proper handling of the units and appropriate rounding.
- Option 4: 30. g. This is incorrect because it implies a mass one or two orders of magnitude smaller; such a result would require density or volume far different from the given values, indicating a miscalculation or unit error.

In summary, the correct approach yields 476.4 g, and the option that most accurately reflects a reasonable rounding of that result is 476 g, while the others either misapply units, misplace decimal points, or over/underestimate the mass.

HonNxtGenChem A HNGC Module 1 Practice Quiz #4- Multiplying and Dividing with Significant Figures

Find the mass of an object with a density of 3.97 g/cm3 and a volume of 120 cm3.

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