A container measuring 25 cm by 22 cm by 45 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 23 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 1.3 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
13 x 45
= 15 cm
Increase in the height of water in the container
= 23 - 15
= 8 cm
Volume of water poured into the container
= 25 x 22 x 8
= 4400 mℓ
(b)
Volume of the water after some water was poured in
= 25 x 22 x 23
= 12650 cm
3
1.3 ℓ = 1300 mℓ
Number of pitchers
= 12650 ÷ 1300
= 9 r 950
Least number of pitchers that he would need
= 9 + 1
= 10
Answer(s): (a) 4400 mℓ; (b) 10