Question

a truck is used to transport some wood panels. each wood panel is cuboid measuring 2.4m by 1.2m by 1.8cm. the density of each wood panel is 750 kg/m3. the truck can carry 15 tonnes of those wood panels. calculate the maximum number of wood panels that the truck can carry.

Answer 1

First find the volume of each wood panel.

$Volume= Length\times Width\times Height$

$Volume=2.4\times1.2\times0.018=0.05184$

From the formula, density is equal to mass over volume;

We have density, so mass is equal to density times volume.

Mass of each is equal to:

$0.05184\times750=38.88 kgs.$

Since the truck carries 15 tonnes, then divide by mass of each panel.

15 tonnes is equal to 15,000 kgs,

To find how many;

Total capacity divided by mass of each

$\frac{15,000}{38.88}=386.299$

The truck can carry approximately 386 wood panels.