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RD Sharma Solutions Class 9 Mathematics Solutions for Surface Area And Volume Of A Cuboid And Cube Exercise 18.2 in Chapter 18 - Surface Area And Volume Of A Cuboid And Cube

Question 1 Surface Area And Volume Of A Cuboid And Cube Exercise 18.2

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many liters of water can it hold?

Answer:

Dimensions of a cuboidal water tank: Length = l = 6m Breadth = b = 5m Height = h = 4.5m We know, Volume of the cuboidal water tank = lbh By substituting the values, we get Volume = 6×5×4.5 = 135 Therefore, Volume of the cuboidal water tank is 135 m3 Convert into liters: We know; 1 m3 = 1000 liters So, 135m3 = (135×1000)liters = 135000 liters Hence, the tank can hold 1,35,000 liters of water.

Video transcript
"hello students welcome to lido q a video session i am seth your math tutor and question for today is a cuboidal water tank is 6 meter long 5 meter wide and 4.5 meter deep how many liters of water it can hold so dimensions of the cuboidal tanks are given that are length that is let us consider length to be l which is equal to 6 meter breadth that is b and that is equal to 5 meter and height that is h and that is equal to 4.5 meter from the question now we know that the volume of the cuboidal tank can be given by length into breadth into height so that is the formula for volume of the cuboidal tank and hence by substituting each of these values you will get 6 into 5 into 4.5 and that is equal to 135 meter cube now here we have the meter cube we don't we need to convert this meter cube into liters so we know that we know 1 meter cube will be equal to 1000 liters therefore 135 meter cube will be equal to 135 into 1000 and this will give you 1 lakh 35 000 liters hence the tank can hold up to 1 lakh 35 000 liters of water and that is our answer if you have any doubt regarding this you can drop it down in your comment section and subscribe to lido for more such interesting q a thank you for watching "
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