A rectangular tank measuring 55 cm by 46 cm by 40 cm was filled with water to a height of 28 cm at first. After 6 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 31 cm.
- Find the volume of water in each jug in cubic centimetres.
- How much more water would be needed to fill the tank completely? (Give your answer in litres.)
(a)
Difference in the height of the new and old water level
= 31 - 28
= 3 cm
Total volume of water added
= 46 x 55 x 3
= 7590 cm
3 Volume of water in each jug
= 7590 ÷ 6
= 1265 cm
3 (b)
Difference in the height of the tank and the water after 6 jugs of water were poured in
= 40 - 31
= 9 cm
Volume of water needed to fill the tank completely
= 46 x 55 x 9
= 22770 cm
3 1000 cm
3 = 1 ℓ
22770 cm
3 = 22.77 ℓ
Answer(s): (a) 1265 cm
3; (b) 22.77 ℓ