The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres
Answer Details
To calculate the volume of water in the tank, we need to first calculate the total volume of the tank and then divide it by 2 (since the tank is half-filled with water).
The volume of the tank can be calculated by multiplying its length, width, and height. Therefore, the total volume of the tank is:
Volume of tank = Length × Width × Height
= 13cm × 10cm × 70cm
= 9100 cubic centimeters (or cm³)
Since we want to find the volume of water in litres, we need to convert the volume from cubic centimeters to litres. There are 1000 cubic centimeters in one litre, so we can convert the volume by dividing it by 1000.
Volume of tank in litres = Volume of tank in cubic centimeters ÷ 1000
= 9100 ÷ 1000
= 9.1 litres
Finally, since the tank is half-filled with water, we need to divide the total volume by 2 to get the volume of water in the tank:
Volume of water in tank = Volume of tank ÷ 2
= 9.1 ÷ 2
= 4.55 litres
Therefore, the volume of water in the tank is 4.55 litres, which is option A.