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The mass of the lump of gold is 193 grams. Find the density of gold in kg per cubic meter if the volume of the lump is 10 cubic centimeters.

Answer :

Final answer:

The density of the lump of gold is calculated by dividing its mass by its volume, resulting in a density of 19300 kg/m³.

Explanation:

To determine the density of an object, one must use the formula for density, which is density = mass/volume. Given the mass of the gold lump is 193 grams (or 0.193 kg as there are 1000 grams in a kilogram) and the volume is 10 cubic centimetres (or 0.00001 cubic metres as there are 1,000,000 cubic centimetres in a cubic metre), we can substitute these values into the formula.

Density = 0.193 kg / 0.00001 m³ = 19300 kg/m³

This shows that the density of the lump of gold is 19300 kg per cubic meter. This is logically consistent as gold is a very dense material. It's important to remember to adjust your units when calculating density to make sure your answer satisfies the question's requirements.

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