A gold bar has a mass of 12.5 kg - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 3

To find the volume of the gold bar, we can use the formula relating mass, density, and volume:

$V = \frac{m}{\rho}$

Where:

• $V$ is the volume,
• $m$ is the mass,
• $\rho$ is the density.

In this case, the mass $m$ is given as 12.5 kg. We need to convert this mass to grams because the density is provided in grams per cubic centimeter.

1 kg = 1000 g, so:

$m = 12.5 \text{ kg} \times 1000 \frac{g}{kg} = 12500 \text{ g}$

The density of gold is given as:

$\rho = 19.3 \frac{g}{cm^3}$

Now we can substitute the values into the formula:

$V = \frac{12500 \text{ g}}{19.3 \frac{g}{cm^3}}$

Calculating this gives:

$V \approx 647.64 \text{ cm}^3$

Rounding the answer to three significant figures, the volume of the gold bar is:

$V \approx 648 \text{ cm}^3$