A rectangular tank measuring 57 cm by 45 cm by 36 cm was filled with water to a height of 29 cm at first. After 9 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 - 29
= 3 cm
Total volume of water added
= 45 x 57 x 3
= 7695 cm
3 Volume of water in each jug
= 7695 ÷ 9
= 855 cm
3 (b)
Difference in the height of the tank and the water after 9 jugs of water were poured in
= 36 - 32
= 4 cm
Volume of water needed to fill the tank completely
= 45 x 57 x 4
= 10260 cm
3 1000 cm
3 = 1 ℓ
10260 cm
3 = 10.26 ℓ
Answer(s): (a) 855 cm
3; (b) 10.26 ℓ