A rectangular tank measuring 58 cm by 52 cm by 35 cm was filled with water to a height of 23 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 34 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
= 34 - 23
= 11 cm
Total volume of water added
= 52 x 58 x 11
= 33176 cm
3 Volume of water in each jug
= 33176 ÷ 8
= 4147 cm
3 (b)
Difference in the height of the tank and the water after 8 jugs of water were poured in
= 35 - 34
= 1 cm
Volume of water needed to fill the tank completely
= 52 x 58 x 1
= 3016 cm
3 1000 cm
3 = 1 ℓ
3016 cm
3 = 3.016 ℓ
Answer(s): (a) 4147 cm
3; (b) 3.016 ℓ