A container measuring 20 cm by 17 cm by 54 cm was
13 filled with water at first. Luke poured some water into the container. In the end, the height of the water level in the container was 24 cm as shown.
- How much water did Luke pour into container? Give your answer in mℓ.
- Luke then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.1 ℓ of water, what is the least number of jugs he would need?
(a)
Height of water in the container at first
=
13 x 54
= 18 cm
Increase in the height of water in the container
= 24 - 18
= 6 cm
Volume of water poured into the container
= 20 x 17 x 6
= 2040 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 17 x 24
= 8160 cm
3
1.1 ℓ = 1100 mℓ
Number of jugs
= 8160 ÷ 1100
= 7 r 460
Least number of jugs that he would need
= 7 + 1
= 8
Answer(s): (a) 2040 mℓ; (b) 8