A container measuring 28 cm by 20 cm by 45 cm was
15 filled with water at first. Dylan poured some water into the container. In the end, the height of the water level in the container was 16 cm as shown.
- How much water did Dylan pour into container? Give your answer in mℓ.
- Dylan 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
=
15 x 45
= 9 cm
Increase in the height of water in the container
= 16 - 9
= 7 cm
Volume of water poured into the container
= 28 x 20 x 7
= 3920 mℓ
(b)
Volume of the water after some water was poured in
= 28 x 20 x 16
= 8960 cm
3
1.6 ℓ = 1600 mℓ
Number of bottles
= 8960 ÷ 1600
= 5 r 960
Least number of bottles that he would need
= 5 + 1
= 6
Answer(s): (a) 3920 mℓ; (b) 6