A container measuring 20 cm by 16 cm by 45 cm was
15 filled with water at first. Nick poured some water into the container. In the end, the height of the water level in the container was 12 cm as shown.
- How much water did Nick pour into container? Give your answer in mℓ.
- Nick then poured all the water in the container into several identical flasks. Given that each flask can hold at least 1.5 ℓ of water, what is the least number of flasks 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
= 12 - 9
= 3 cm
Volume of water poured into the container
= 20 x 16 x 3
= 960 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 16 x 12
= 3840 cm
3
1.5 ℓ = 1500 mℓ
Number of flasks
= 3840 ÷ 1500
= 2 r 840
Least number of flasks that he would need
= 2 + 1
= 3
Answer(s): (a) 960 mℓ; (b) 3