A container measuring 30 cm by 27 cm by 50 cm was
15 filled with water at first. Neave 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 Neave pour into container? Give your answer in mℓ.
- Neave then poured all the water in the container into several identical flasks. Given that each flask can hold at least 1.1 ℓ of water, what is the least number of flasks 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
= 16 - 10
= 6 cm
Volume of water poured into the container
= 30 x 27 x 6
= 4860 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 27 x 16
= 12960 cm
3
1.1 ℓ = 1100 mℓ
Number of flasks
= 12960 ÷ 1100
= 11 r 860
Least number of flasks that he would need
= 11 + 1
= 12
Answer(s): (a) 4860 mℓ; (b) 12