The pyramid P is formed from two parts made of different materials - Edexcel - GCSE Maths - Question 25 - 2022 - Paper 3

The total mass of pyramid P is the sum of the masses of both parts:

$ext{Total Mass} = 92.8 ext{ g} + 972.8 ext{ g} = 1065.6 ext{ g}$

To find the total volume of pyramid P, we again use the volume formula but with the average density:

$V_{total} = \frac{\text{Total Mass}}{\text{Average Density}} = \frac{1065.6 ext{ g}}{4.7 ext{ g/cm}^3} = 226.72 \text{ cm}^3$

Now, we can calculate the percentage of the top part volume relative to the total volume:

$\text{Percentage} = \left( \frac{V_{top}}{V_{total}} \right) \times 100 = \left( \frac{32.0}{226.72} \right) \times 100 \approx 14.1\%$