A container measuring 20 cm by 14 cm by 45 cm was
13 filled with water at first. Lee 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 Lee pour into container? Give your answer in mℓ.
- Lee then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.6 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
13 x 45
= 15 cm
Increase in the height of water in the container
= 24 - 15
= 9 cm
Volume of water poured into the container
= 20 x 14 x 9
= 2520 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 14 x 24
= 6720 cm
3
1.6 ℓ = 1600 mℓ
Number of bottles
= 6720 ÷ 1600
= 4 r 320
Least number of bottles that he would need
= 4 + 1
= 5
Answer(s): (a) 2520 mℓ; (b) 5