A rectangular tank measuring 63 cm by 53 cm by 43 cm was filled with water to a height of 27 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 - 27
= 5 cm
Total volume of water added
= 53 x 63 x 5
= 16695 cm
3 Volume of water in each jug
= 16695 ÷ 9
= 1855 cm
3 (b)
Difference in the height of the tank and the water after 9 jugs of water were poured in
= 43 - 32
= 11 cm
Volume of water needed to fill the tank completely
= 53 x 63 x 11
= 36729 cm
3 1000 cm
3 = 1 ℓ
36729 cm
3 = 36.729 ℓ
Answer(s): (a) 1855 cm
3; (b) 36.729 ℓ