A container measuring 21 cm by 16 cm by 48 cm was
13 filled with water at first. Julian poured some water into the container. In the end, the height of the water level in the container was 25 cm as shown.
- How much water did Julian pour into container? Give your answer in mℓ.
- Julian then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.1 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
13 x 48
= 16 cm
Increase in the height of water in the container
= 25 - 16
= 9 cm
Volume of water poured into the container
= 21 x 16 x 9
= 3024 mℓ
(b)
Volume of the water after some water was poured in
= 21 x 16 x 25
= 8400 cm
3
1.1 ℓ = 1100 mℓ
Number of pitchers
= 8400 ÷ 1100
= 7 r 700
Least number of pitchers that he would need
= 7 + 1
= 8
Answer(s): (a) 3024 mℓ; (b) 8