A rectangular tank measuring 64 cm by 45 cm by 44 cm was filled with water to a height of 26 cm at first. After 9 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 34 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
= 34 - 26
= 8 cm
Total volume of water added
= 45 x 64 x 8
= 23040 cm
3 Volume of water in each jug
= 23040 ÷ 9
= 2560 cm
3 (b)
Difference in the height of the tank and the water after 9 jugs of water were poured in
= 44 - 34
= 10 cm
Volume of water needed to fill the tank completely
= 45 x 64 x 10
= 28800 cm
3 1000 cm
3 = 1 ℓ
28800 cm
3 = 28.8 ℓ
Answer(s): (a) 2560 cm
3; (b) 28.8 ℓ