A container measuring 30 cm by 22 cm by 44 cm was
14 filled with water at first. Jack poured some water into the container. In the end, the height of the water level in the container was 18 cm as shown.
- How much water did Jack pour into container? Give your answer in mℓ.
- Jack then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.6 ℓ of water, what is the least number of pitchers 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
= 18 - 11
= 7 cm
Volume of water poured into the container
= 30 x 22 x 7
= 4620 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 22 x 18
= 11880 cm
3
1.6 ℓ = 1600 mℓ
Number of pitchers
= 11880 ÷ 1600
= 7 r 680
Least number of pitchers that he would need
= 7 + 1
= 8
Answer(s): (a) 4620 mℓ; (b) 8