A rectangular tank measuring 64 cm by 54 cm by 44 cm was filled with water to a height of 30 cm at first. After 9 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 - 30
= 1 cm
Total volume of water added
= 54 x 64 x 1
= 3456 cm
3 Volume of water in each jug
= 3456 ÷ 9
= 384 cm
3 (b)
Difference in the height of the tank and the water after 9 jugs of water were poured in
= 44 - 31
= 13 cm
Volume of water needed to fill the tank completely
= 54 x 64 x 13
= 44928 cm
3 1000 cm
3 = 1 ℓ
44928 cm
3 = 44.928 ℓ
Answer(s): (a) 384 cm
3; (b) 44.928 ℓ