A container measuring 23 cm by 16 cm by 55 cm was
15 filled with water at first. Liam poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did Liam pour into container? Give your answer in mℓ.
- Liam then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.3 ℓ of water, what is the least number of jugs he would need?
(a)
Height of water in the container at first
=
15 x 55
= 11 cm
Increase in the height of water in the container
= 20 - 11
= 9 cm
Volume of water poured into the container
= 23 x 16 x 9
= 3312 mℓ
(b)
Volume of the water after some water was poured in
= 23 x 16 x 20
= 7360 cm
3
1.3 ℓ = 1300 mℓ
Number of jugs
= 7360 ÷ 1300
= 5 r 860
Least number of jugs that he would need
= 5 + 1
= 6
Answer(s): (a) 3312 mℓ; (b) 6