A container measuring 22 cm by 18 cm by 48 cm was
14 filled with water at first. Zeph poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did Zeph pour into container? Give your answer in mℓ.
- Zeph 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
=
14 x 48
= 12 cm
Increase in the height of water in the container
= 20 - 12
= 8 cm
Volume of water poured into the container
= 22 x 18 x 8
= 3168 mℓ
(b)
Volume of the water after some water was poured in
= 22 x 18 x 20
= 7920 cm
3
1.6 ℓ = 1600 mℓ
Number of bottles
= 7920 ÷ 1600
= 4 r 1520
Least number of bottles that he would need
= 4 + 1
= 5
Answer(s): (a) 3168 mℓ; (b) 5