SOLUTION: an open concrete tank is internally 1m wide, 2m long and 1.5m deep, the concrete being 10cm thick. calculate the capacity of the tank in litres and the volume of concrete used in c

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Question 1031185: an open concrete tank is internally 1m wide, 2m long and 1.5m deep, the concrete being 10cm thick. calculate the capacity of the tank in litres and the volume of concrete used in cubic metre

Found 2 solutions by Boreal, Bakr.R:
Answer by Boreal(15235) About Me  (Show Source):
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The internal volume is 1m*1.5m^2m+3 m^3.
the external dimensions are 1.2 m wide and 2.2 m long and 1.6 m deep
This would be 4.224 m^3. If we subtract from that the 3 m^3 that is open, 1.224 m^3 of concrete is the volume.

Answer by Bakr.R(8) About Me  (Show Source):
You can put this solution on YOUR website!
The question asks for two volumes:
•The volume of the tank's capacity
• The volume of the concrete tank
Through the given information, we can first find the tank's capacity (the amount of space it can hold inside) through the given information.
The question says the tank is INTERNALLY 1m wide, 2m long and 1.5m deep, that has already given us the values for the tank's capacity, we can deduce (through the equation of volume:
let the tank's capacity be cc=1%2A2%2A1.5=3m%5E3 Convert this value to liters to get the answer in the requested unit of measure.
3m%5E3=3000L
Now, we must also find the concrete tank's volume, and now keep in mind only the tank's concrete.
it mentions that the concrete is 10 cm thick, and since we are calculating the entire tank, we add the the thickness of concrete to the sides (convert it to m to make the method simpler, which will be 0.lm).
1m wide + 0.2m, we are adding 20 cm here since we are adding for both sides of the tank.
2m long + 0.2m, the same situation here.
1.5m deep + 0.1m, we only add 10 cm here since the question says an open concrete tank, so the assumption is it has only one side on the vertical axis (meaning it has no cap).
The values are 1.2m,2.2m,1.6m
multiply them and you will get the volume of the tank, let the volume of the tank be t t=1.2%2A2.2%2A1.6=4.224m%5E3,
but that is the entire volume, we only need the concrete's volume, so, logically, we may subtract the tank's capacity from the total volume to acquire only the concrete's volume:
t-c=4.224m%5E3-3m%5E3=1.224m%5E3
The concrete's volume is 1.224m%5E3