An unknown metal is poured into a graduated cylinder that holds exactly 10.7mL. The unknown metal used to fill the cylinder weighs 126.7g. From this information, calculate the density (in g/cm3) of the unknown material. Hint: 1mL = 1cm3. Answer to 1 decimal places and only put in the numerical value. Do not write the unit in your answer.

Question

BlackTom AI · Accepted Answer

The task provides a mass and a volume for an unknown material, and asks for its density.

First, recall the density formula: density = mass / volume.

Next, convert the given measurements into compatible units. The volume is 10.7 mL, and since 1 mL = 1 cm3, this is equivalent to 10.7 cm3. The mass is already given as 126.7 g.

Now substitute into the formula: density = 126.7 g / 10.7 cm3.

Perform the division: 126.7 ÷ 10.7 ≈ 11.841... (g/cm3).

For reporting to one decimal place as requested, round to one decimal: 11.8 g/cm3.

Thus, the calculation process yields a density value that is approximately 11.8 g/cm3.

If you want to verify the arithmetic, you can multiply 10.7 by 11.8 to see it closely matches 126.7 (within rounding tolerance).

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