A rectangular tank measuring 59 cm by 49 cm by 44 cm was filled with water to a height of 24 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 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
= 32 - 24
= 8 cm
Total volume of water added
= 49 x 59 x 8
= 23128 cm
3 Volume of water in each jug
= 23128 ÷ 8
= 2891 cm
3 (b)
Difference in the height of the tank and the water after 8 jugs of water were poured in
= 44 - 32
= 12 cm
Volume of water needed to fill the tank completely
= 49 x 59 x 12
= 34692 cm
3 1000 cm
3 = 1 ℓ
34692 cm
3 = 34.692 ℓ
Answer(s): (a) 2891 cm
3; (b) 34.692 ℓ