A rectangular tank measuring 56 cm by 48 cm by 35 cm was filled with water to a height of 24 cm at first. After 6 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 - 24
= 8 cm
Total volume of water added
= 48 x 56 x 8
= 21504 cm
3 Volume of water in each jug
= 21504 ÷ 6
= 3584 cm
3 (b)
Difference in the height of the tank and the water after 6 jugs of water were poured in
= 35 - 32
= 3 cm
Volume of water needed to fill the tank completely
= 48 x 56 x 3
= 8064 cm
3 1000 cm
3 = 1 ℓ
8064 cm
3 = 8.064 ℓ
Answer(s): (a) 3584 cm
3; (b) 8.064 ℓ