Question

Tins of milk each of volume 77cm^3 and weight 170g

were packed into an empty carton of volume 1540cm^3
and weight 5ooo g.

How many tins of milk can be packed to fill the carton ?
What is the weight of the carton when packed with the tins of milk?

Answer 1

1. 20 tins of milk

2. Weight of the Carton = 8,4kg ot 8400g

Explanation:

Given

Volume of a Tin = 77cm³

Weight of a tin = 5000g

Volume of Empty Carton = 1540cm³

Weight of Empty Carton = 5000g

Calculating the number of tins of milk

To do this, we have to make use of the given volumes;

And this is done as follows;

`Number = (Volume\ of\ Empty\ Carton)/(Volume\ of\ a\ Tin)`

Substitute 77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton

`Number = (1540cm^3)/(77cm^3)`

`Number = 20`

Hence, 20 tins of milk will filled the empty carton

Calculating the weight of the Carton after filled with tins of milk

This is calculated as thus;

Total Weight = Weight of Empty Carton + Weight of Tins of Milk

Substitute 5000g for Weight of Empty Carton

Total Weight = 5000g + Weight of Tins of Milk

_________________________________________

Calculating Weight of Tins of Milk

Since 20 tins of milk will fill the empty carton, the

Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk

Weight of Tins of Milk = 20 * 170g

Weight of Tins of Milk = 3400g

_________________________________________

Substitute 3400g for Weight of Tins of Milk

`Total\ Weight = 5000g + 3400g`

`Total\ Weight = 8400g`

In Kilograms:

`Total\ Weight = 8.4kg`