A container measuring 22 cm by 18 cm by 40 cm was
15 filled with water at first. Justin poured some water into the container. In the end, the height of the water level in the container was 15 cm as shown.
- How much water did Justin pour into container? Give your answer in mℓ.
- Justin 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
=
15 x 40
= 8 cm
Increase in the height of water in the container
= 15 - 8
= 7 cm
Volume of water poured into the container
= 22 x 18 x 7
= 2772 mℓ
(b)
Volume of the water after some water was poured in
= 22 x 18 x 15
= 5940 cm
3
1.1 ℓ = 1100 mℓ
Number of jugs
= 5940 ÷ 1100
= 5 r 440
Least number of jugs that he would need
= 5 + 1
= 6
Answer(s): (a) 2772 mℓ; (b) 6