2 thoughts on “base area of a tank is 4.5 metre square what should be the height of the tank to fill 3000 litre of water”
Answer:
Given:
✰ Base area of a tank = 4.5 m²
✰ Volume of water to be filled = 3000 litre
To find:
✠ The height of the tank.
Solution:
Let’s understand the concept first! Here we are provided with a base area of the tank which means that length multiplied its breadth and we are provided with the volume of water to be filled with the tank, that is, the volume of the tank. First of all, we will convert volume of water to be filled which is in litres to metres because while doing calculations the nature of the unit must be same else we will get wrong answer. The volume of water is nothing but length times its breadth times its height. Thus, forming an adequate equation and doing required calculations, we will find the height of the tank.
Let’s convert the 3000 litres into metres, we have:
Let’s understand the concept first! Here we are provided with a base area of the tank which means that length multiplied its breadth and we are provided with the volume of water to be filled with the tank, that is, the volume of the tank. First of all, we will convert volume of water to be filled which is in litres to metres because while doing calculations the nature of the unit must be same else we will get wrong answer. The volume of water is nothing but length times its breadth times its height. Thus, forming an adequate equation and doing required calculations, we will find the height of the tank.
Let’s convert the 3000 litres into metres, we have:
Answer:
Given:
✰ Base area of a tank = 4.5 m²
✰ Volume of water to be filled = 3000 litre
To find:
✠ The height of the tank.
Solution:
Let’s understand the concept first! Here we are provided with a base area of the tank which means that length multiplied its breadth and we are provided with the volume of water to be filled with the tank, that is, the volume of the tank. First of all, we will convert volume of water to be filled which is in litres to metres because while doing calculations the nature of the unit must be same else we will get wrong answer. The volume of water is nothing but length times its breadth times its height. Thus, forming an adequate equation and doing required calculations, we will find the height of the tank.
Let’s convert the 3000 litres into metres, we have:
⇾1 l = 1/1000 m³
⇾3000 l = 3000/1000 m³
⇾Volume of water to be filled = 3 m³
⇾Base area of a tank = 4.5 m²
⇾length × breadth = 4.5 m²
Then,
✭ Volume = l × b × h ✭
Here,
l is the length of the tank.
b is the breadth of the tank.
h is the height of the tank.
Putting the values in the formula, we have:
➤ Volume of the tank = base area × h
➤ 3 = 4.5 × h
➤ h = 3/4.5
➤ h = (3×10)/45
➤ h = 30/45
➤ h = 2/3
➤ h ≈ 0.67 m
∴ The height of the tank ≈ 0.67 m
_______________________________
Step-by-step explanation:
Hope this answer will help you.✌️
Given:
✰ Base area of a tank = 4.5 m²
✰ Volume of water to be filled = 3000 litre
To find:
✠ The height of the tank.
Solution:
Let’s understand the concept first! Here we are provided with a base area of the tank which means that length multiplied its breadth and we are provided with the volume of water to be filled with the tank, that is, the volume of the tank. First of all, we will convert volume of water to be filled which is in litres to metres because while doing calculations the nature of the unit must be same else we will get wrong answer. The volume of water is nothing but length times its breadth times its height. Thus, forming an adequate equation and doing required calculations, we will find the height of the tank.
Let’s convert the 3000 litres into metres, we have:
⇾1 l = 1/1000 m³
⇾3000 l = 3000/1000 m³
⇾Volume of water to be filled = 3 m³
⇾Base area of a tank = 4.5 m²
⇾length × breadth = 4.5 m²
Then,
✭ Volume = l × b × h ✭
Here,
Putting the values in the formula, we have:
➤ Volume of the tank = base area × h
➤ 3 = 4.5 × h
➤ h = 3/4.5
➤ h = (3×10)/45
➤ h = 30/45
➤ h = 2/3
➤ h ≈ 0.67 m
∴ The height of the tank ≈ 0.67 m
_______________________________