Project on Cuboid

KAVYA. S.K. VI E

Maths Project with cuboid volume

Respected Teachers and Friends !!!!!!!

Kerala is a state blessed with lots of rivers and lakes !!!

As you know “Dams” are constructed across the water ways to control the flow or raise the level of water. (show the dams in the models

Dams are constructed either with earth, rock or cement concrete

Now a days most of the dams are constructed using concrete which is more expensive.

Therefore the cost of construction of even a smaller size dam involves spending of crores of rupees !!!!!!

So we should try to reduce the cost of construction of dams without compromising the storage capacity , OK

Do you know what is reservoir of a dam?

Yes, it is the storage area of water in a dam site. ( show the reservoir area in the models)

Now I am asking you a question !!!!

How can you calculate the quantity of water stored in a reservoir if I am giving you the length and the breadth of reservoir and the height of water stored in the dam?

Is it like a cuboid ? ( show the cuboid picture in the chart)

Yes it is like a cuboid

So the volume of water stored is length x breadth x height

Or, we can say base area of reservoir x height of

water stored

Now I am showing you three boxes having different base areas , (smaller , medium and bigger)

Let us imagine these boxes as different reservoirs

Now I am pouring one glass of water in each of the boxes

(Pour water in each of the boxes carefully)

Can you see which one is having more height or depth of water?

Yes, the smaller box, that is with lesser base area is having more height of water

From the above what can we conclude?

Any body?

Any body?

No answer !!!!! OK , I will say

For storing the same quantity of water :

A dam with lesser reservoir area will have more height of