A container measuring 23 cm by 20 cm by 54 cm was
13 filled with water at first. Luke poured some water into the container. In the end, the height of the water level in the container was 21 cm as shown.
- How much water did Luke pour into container? Give your answer in mℓ.
- Luke 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 54
= 18 cm
Increase in the height of water in the container
= 21 - 18
= 3 cm
Volume of water poured into the container
= 23 x 20 x 3
= 1380 mℓ
(b)
Volume of the water after some water was poured in
= 23 x 20 x 21
= 9660 cm
3
1.6 ℓ = 1600 mℓ
Number of bottles
= 9660 ÷ 1600
= 6 r 60
Least number of bottles that he would need
= 6 + 1
= 7
Answer(s): (a) 1380 mℓ; (b) 7