A rectangular tank measuring 60 cm by 46 cm by 42 cm was filled with water to a height of 29 cm at first. After 8 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 - 29
= 2 cm
Total volume of water added
= 46 x 60 x 2
= 5520 cm
3 Volume of water in each jug
= 5520 ÷ 8
= 690 cm
3 (b)
Difference in the height of the tank and the water after 8 jugs of water were poured in
= 42 - 31
= 11 cm
Volume of water needed to fill the tank completely
= 46 x 60 x 11
= 30360 cm
3 1000 cm
3 = 1 ℓ
30360 cm
3 = 30.36 ℓ
Answer(s): (a) 690 cm
3; (b) 30.36 ℓ