A rectangular tank measuring 59 cm by 48 cm by 40 cm was filled with water to a height of 30 cm at first. After 8 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 - 30
= 1 cm
Total volume of water added
= 48 x 59 x 1
= 2832 cm
3 Volume of water in each jug
= 2832 ÷ 8
= 354 cm
3 (b)
Difference in the height of the tank and the water after 8 jugs of water were poured in
= 40 - 31
= 9 cm
Volume of water needed to fill the tank completely
= 48 x 59 x 9
= 25488 cm
3 1000 cm
3 = 1 ℓ
25488 cm
3 = 25.488 ℓ
Answer(s): (a) 354 cm
3; (b) 25.488 ℓ