A rectangular tank measuring 60 cm by 51 cm by 36 cm was filled with water to a height of 26 cm at first. After 8 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 - 26
= 6 cm
Total volume of water added
= 51 x 60 x 6
= 18360 cm
3 Volume of water in each jug
= 18360 ÷ 8
= 2295 cm
3 (b)
Difference in the height of the tank and the water after 8 jugs of water were poured in
= 36 - 32
= 4 cm
Volume of water needed to fill the tank completely
= 51 x 60 x 4
= 12240 cm
3 1000 cm
3 = 1 ℓ
12240 cm
3 = 12.24 ℓ
Answer(s): (a) 2295 cm
3; (b) 12.24 ℓ