A rectangular tank measuring 55 cm by 49 cm by 43 cm was filled with water to a height of 22 cm at first. After 6 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 34 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
= 34 - 22
= 12 cm
Total volume of water added
= 49 x 55 x 12
= 32340 cm
3 Volume of water in each jug
= 32340 ÷ 6
= 5390 cm
3 (b)
Difference in the height of the tank and the water after 6 jugs of water were poured in
= 43 - 34
= 9 cm
Volume of water needed to fill the tank completely
= 49 x 55 x 9
= 24255 cm
3 1000 cm
3 = 1 ℓ
24255 cm
3 = 24.255 ℓ
Answer(s): (a) 5390 cm
3; (b) 24.255 ℓ