A rectangular tank measuring 62 cm by 45 cm by 40 cm was filled with water to a height of 28 cm at first. After 6 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 33 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
= 33 - 28
= 5 cm
Total volume of water added
= 45 x 62 x 5
= 13950 cm
3 Volume of water in each jug
= 13950 ÷ 6
= 2325 cm
3 (b)
Difference in the height of the tank and the water after 6 jugs of water were poured in
= 40 - 33
= 7 cm
Volume of water needed to fill the tank completely
= 45 x 62 x 7
= 19530 cm
3 1000 cm
3 = 1 ℓ
19530 cm
3 = 19.53 ℓ
Answer(s): (a) 2325 cm
3; (b) 19.53 ℓ