Question

An empty rectangular container has a square base 10cm & height 30cm. it is filled with 1.2 ltr of water. find the height of water level , how many more ltr of water are needed to fill the tank complete

Answer 1

heya!

volume of water = 1.2 l = 1200 ml = 1200 cm³

case : 1
10*10*h = 1200
h = 12 cm

case :2
total water required to fill the tank = volume of container

v = 10*10*30
= 3000 cm³
= 3 liters

so, h of tank in 1st case = 12cm

water more required to fill the tank = 3-1.2 = 1.8 l

hope this helps!

Answer 2

The height of the water level is 12cm and 1.8 litres of water is more needed to completely fill the container.

Given : An empty rectangular container has a square base 10cm & height 30cm. It is filled with 1.2 ltr of water.

To find : The height of water level and amount of more water needed to completely fill the container.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the height of water level and amount of more water needed to fill the container)

Now,

The area of the square base of the container :

= (side of square base)²

= (10)² cm²

= 100 cm²

Let, the height of water level = h cm

So, volume of water :

= Base area × Height of water level

= (100 × h) cm³

= 100h cm³

From, given data :

Volume of water = 1.2 litres = (1.2 × 1000) = 1200 cm³

(As, 1 litre = 1000 cm³)

Now, comparing the calculated volume of water with the volume of water from given data :

100h = 1200

h = 1200/100

h = 12cm

Height of water level = h cm = 12 cm

Now, the total holding capacity of the container = The volume of the container

And, the volume of the container :

= Base area × Height

= (100 × 30) cm³

= 3000 cm³

So, total water holding capacity of the container = 3000cm³

Already available water = 1200 cm³ (previously obtained from 1.2 litres water)

Amount of water more needed to fill the tank :

= (3000 - 1200) cm³

= 1800 cm³

= (1800 ÷ 1000) litres [As, 1 litre = 1000 cm³]

= 1.8 litres

Hence, the height of the water level is 12cm and 1.8 litres of water is more needed to completely fill the container.