A rectangular tank measuring 62 cm by 52 cm by 44 cm was filled with water to a height of 25 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 - 25
= 7 cm
Total volume of water added
= 52 x 62 x 7
= 22568 cm
3 Volume of water in each jug
= 22568 ÷ 8
= 2821 cm
3 (b)
Difference in the height of the tank and the water after 8 jugs of water were poured in
= 44 - 32
= 12 cm
Volume of water needed to fill the tank completely
= 52 x 62 x 12
= 38688 cm
3 1000 cm
3 = 1 ℓ
38688 cm
3 = 38.688 ℓ
Answer(s): (a) 2821 cm
3; (b) 38.688 ℓ