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

The total mass of P is the sum of the masses of the top and bottom parts:

$m_{total} = m_{top} + m_{bottom} = 92.8 + 972.8 = 1065.6 \text{ g}$

We use the average density of P to find the total volume:

$V_{total} = \frac{m_{total}}{d_{average}}$ where:

• d is the average density of P (4.7 g/cm³)

Thus:

$V_{total} = \frac{1065.6}{4.7} \approx 226.72 \text{ cm}^3$

To find the percentage,

$Percentage = \left( \frac{V_{top}}{V_{total}} \right) \times 100$

Substituting the values we found:

$Percentage = \left( \frac{32.1}{226.72} \right) \times 100 \approx 14.2 \%$