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

Answer:

1.  20 tins of milk

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

Step-by-step 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;

$Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}$

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

$Number = \frac{1540cm^3}{77cm^3}$

$Number = 20$

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

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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

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Substitute 3400g for Weight of Tins of Milk

$Total\ Weight = 5000g + 3400g$

$Total\ Weight = 8400g$

In Kilograms:

$Total\ Weight = 8.4kg$