A container measuring 24 cm by 21 cm by 50 cm was
15 filled with water at first. Sean 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 Sean pour into container? Give your answer in mℓ.
- Sean then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.1 ℓ of water, what is the least number of bottles 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
= 24 x 21 x 5
= 2520 mℓ
(b)
Volume of the water after some water was poured in
= 24 x 21 x 15
= 7560 cm
3
1.1 ℓ = 1100 mℓ
Number of bottles
= 7560 ÷ 1100
= 6 r 960
Least number of bottles that he would need
= 6 + 1
= 7
Answer(s): (a) 2520 mℓ; (b) 7