A container measuring 29 cm by 22 cm by 50 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 1.8 ℓ of water, what is the least number of jugs he would need?
(a)
Height of water in the container at first
=
15 x 50
= 10 cm
Increase in the height of water in the container
= 15 - 10
= 5 cm
Volume of water poured into the container
= 29 x 22 x 5
= 3190 mℓ
(b)
Volume of the water after some water was poured in
= 29 x 22 x 15
= 9570 cm
3
1.8 ℓ = 1800 mℓ
Number of jugs
= 9570 ÷ 1800
= 5 r 570
Least number of jugs that he would need
= 5 + 1
= 6
Answer(s): (a) 3190 mℓ; (b) 6