Question 947561: an open concrete tank is internally 1cm wide 2m long and 1.5m deep the concrete being 10cm thick calculate a) the capacity of the tank in litres b)the volume of concrete used im m^3
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 1 meter is equal to 100 centimeters.
the inner dimensions are therefore 1 by 200 by 150 centimeters.
the volume of the inside of the tank is therefore 1 * 200 * 150 = 30,000 cubic centimeters.
the concrete is 10 cm thick.
you would add 20cm to the width and you would add 20 cm to the length and you would add 10cm to the depth.
you only add 10cm to the depth because the top is open.
the outer dimensions would become 21 by 220 by 160 centimeters.
the volume of the outside of the tank is therefore 21 * 220 * 160 = 739,200 square centimeters.
the volume of the concrete is the difference between the inner volume and the outer volume which is equal to 739,200 - 30,000 = 709,200 cubic centimeters.
the capacity of the tank in liters is equal to 30,000 cubic centimeters divided by 1000 which is equal to 30 liters.
this is because 1000 cubic centimeters is equal to 1 liter.
1 centimeter width in a tank that has a length of 2 meters and a width of 1.5 meters seems a little odd.
i would have expected the width to be 1 meter rather than 1 centimeter.
if, in fact, the width really is 1 meter rather than 1 centimeter, then your answer would be quite different.
the calculations would then be:
inner volume = 100 * 200 * 150 = 3,000,000 cubic centimeters.
outer volume = 120 * 220 * 160 = 4,224,000 cubic centimeters.
volume of concrete = 4,224,000 - 3,000,000 = 1,224,000 cubic centimeters.
capacity of the tank in liters = 3,000,000 / 1,000 = 3,000 liters.
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