A truck is used to transport some wood panels - OCR - GCSE Maths - Question 6 - 2020 - Paper 6

Using the formula for mass:

$M = \text{Density} \times \text{Volume}$

Given the density is 750 kg/m³, we calculate: $M = 750 ext{ kg/m}^3 \times 0.05184 ext{ m}^3 = 38.88 ext{ kg}$

The truck can carry 15 tonnes, which is equivalent to: $15 ext{ tonnes} = 15000 ext{ kg}$

To find the maximum number of wood panels the truck can carry, we use:

$\text{Number of panels} = \frac{\text{Total mass truck can carry}}{\text{Mass of one wood panel}}$

Substituting the known values: $\text{Number of panels} = \frac{15000 ext{ kg}}{38.88 ext{ kg}} \approx 385.1$

Since we cannot carry a fraction of a panel, we take the whole number:

Maximum number of wood panels = 385.