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TUTORIAL 1.1PROBLEM SOLVING

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QUESTION 1 :THE KING’S ELEPHANT

PROBLEMOnce upon a time the king of Siam asked his warriors to

measure the weight of an elephant. However the weight

of the elephant was too heavy to be measured by the

biggest weighing machine available. Your task is to help

the warriors to solve the problem.

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1. UNDERSTAND THE PROBLEM

The warriors needs to find the weight of the weight of the elephant but the weight

of the elephant was too heavy to be measured by the biggest weighing machineavailable.

2. DEVICE A PLAN

Guess and check method can be carried out to find the weight of the

elephant.The weight of the elephant can be estimate by using the volume of 

water.

3. CARRY OUT THE PLAN

Fill a tank with water which has more mass than the elephant.Then place theelephant using crane and put into the tank from top.Then collect the water splash

out from the tank into another glass container .Therefore the mass of water 

splash out from the tank is equal to the mass of the elephant.So, the mass of the

elephant can be estimate using this method successfully.

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WAYS TO CONDUCT

(IN DIAGRAM FORM)

 

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• Step 1

FILL A TANK WITH

WATERWHICH HASMORE MASS

 THAN THEELEPHANT

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• Step 2

 Then place the elephant usingcrane and put into the tank

from top.

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• Step 3

Measure the water that splash out from the big water tank

when elephant is place inside the tank.

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QUESTION 2 : ABUNAWAS’S PROBLEM

• In one of the stories in ‘one thousand and one Night’, Abu

Nawas would only allow any traveler to fetch water from

the only well in the desert after solving the following

problem:

• The travelers were given a 3 litre container and a 5 litre

container.They have to measure exactly four and seven

litters of water using the above containers.You are

required to help the travelers to solve the problem.

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1. UNDERSTAND THE PROBLEM

Measure 4 litres of water and 7 litres of water using 3 litres and 5 littres of 

containers.

2. DEVICE A PLAN

Use the 3 litres container and 5 litres container to measure 4 and 7 littres

of water.

3. CARRY OUT THE PLAN

Firstly add the 3litre of water from the 3 litre container into a beaker and

then add on 5 litre water from 5 litre container.Now the total amount of the

water in the beaker is 8 litre. So pour only half litre of water to a beaker to

get 4 litre of water. Then add 3 litre of water from the 3 litre container into

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• WAYS TO CONDUCT (IN DIAGRAM FORM)

  To get 4 liter of water 

 † 

3 litre 5 litre8 litre (take half) = 4 litre

A

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To get 7 litre of water 

Method 1  Add on 3 litre of water to container A which containing 4 litre of 

water to get 7 litre of water.

A

8 litre (half taken) =

remaining 4 litre

 † 

3 litre 7 litre

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Method 2

†

(i)

5 litre3 litre (i)

2 litre[remaining]

5 litre

=

7 litre

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NAVAMANI SIMADIRI

ANITTHA KUMARI MEGAVARNAM

KAVITHA DEVINDARAN