Question

A truck and it's load have a mass of 33t 600kg. the mass of the truck is one-third of this. what is the mass of the load?

Answer 1

To find the mass of the load, we first calculate the mass of the truck by dividing the total mass of the truck and its load (33t 600kg) by 3. Then, we subtract the mass of the truck from the total mass to find the mass of the load, which is 22400 kg.

Step-by-step explanation:

The total mass of the truck and its load is 33 tonnes and 600 kilograms, which equals 33600 kilograms, as 1 tonne equals 1000 kilograms. According to the question, the mass of the truck is one-third of this total mass. To find the mass of the truck, we divide the total mass by 3, and to find the mass of the load, we subtract the mass of the truck from the total mass.

Calculating the mass of the truck:

1. Convert the tonnes to kilograms: 33 tonnes = 33 × 1000 kg = 33000 kg.
2. Add the additional 600 kg: 33000 kg + 600 kg = 33600 kg.
3. Find one-third of the total mass: ⅓ of 33600 kg = ⅓ × 33600 kg = 11200 kg.

This is the mass of the truck. To find the mass of the load, subtract the mass of the truck from the total mass.

1. Mass of the load = Total mass - Mass of the truck.
2. Mass of the load = 33600 kg - 11200 kg = 22400 kg.

Therefore, the mass of the load is 22400 kilograms.