A rectangular tank measuring 58 cm by 49 cm by 43 cm was filled with water to a height of 25 cm at first. After 7 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 - 25
= 6 cm
Total volume of water added
= 49 x 58 x 6
= 17052 cm
3 Volume of water in each jug
= 17052 ÷ 7
= 2436 cm
3 (b)
Difference in the height of the tank and the water after 7 jugs of water were poured in
= 43 - 31
= 12 cm
Volume of water needed to fill the tank completely
= 49 x 58 x 12
= 34104 cm
3 1000 cm
3 = 1 ℓ
34104 cm
3 = 34.104 ℓ
Answer(s): (a) 2436 cm
3; (b) 34.104 ℓ