A rectangular tank measuring 64 cm by 51 cm by 41 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 31 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
= 31 - 24
= 7 cm
Total volume of water added
= 51 x 64 x 7
= 22848 cm
3 Volume of water in each jug
= 22848 ÷ 6
= 3808 cm
3 (b)
Difference in the height of the tank and the water after 6 jugs of water were poured in
= 41 - 31
= 10 cm
Volume of water needed to fill the tank completely
= 51 x 64 x 10
= 32640 cm
3 1000 cm
3 = 1 ℓ
32640 cm
3 = 32.64 ℓ
Answer(s): (a) 3808 cm
3; (b) 32.64 ℓ