A container measuring 26 cm by 20 cm by 44 cm was
14 filled with water at first. Ethan 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 Ethan pour into container? Give your answer in mℓ.
- Ethan then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.8 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
14 x 44
= 11 cm
Increase in the height of water in the container
= 14 - 11
= 3 cm
Volume of water poured into the container
= 26 x 20 x 3
= 1560 mℓ
(b)
Volume of the water after some water was poured in
= 26 x 20 x 14
= 7280 cm
3
1.8 ℓ = 1800 mℓ
Number of bottles
= 7280 ÷ 1800
= 4 r 80
Least number of bottles that he would need
= 4 + 1
= 5
Answer(s): (a) 1560 mℓ; (b) 5