A container measuring 20 cm by 17 cm by 50 cm was
15 filled with water at first. Bryan poured some water into the container. In the end, the height of the water level in the container was 14 cm as shown.
- How much water did Bryan pour into container? Give your answer in mℓ.
- Bryan then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.4 ℓ of water, what is the least number of bottles 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
= 14 - 10
= 4 cm
Volume of water poured into the container
= 20 x 17 x 4
= 1360 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 17 x 14
= 4760 cm
3
1.4 ℓ = 1400 mℓ
Number of bottles
= 4760 ÷ 1400
= 3 r 560
Least number of bottles that he would need
= 3 + 1
= 4
Answer(s): (a) 1360 mℓ; (b) 4