A container measuring 25 cm by 22 cm by 45 cm was
15 filled with water at first. Caden 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 Caden pour into container? Give your answer in mℓ.
- Caden then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.7 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
15 x 45
= 9 cm
Increase in the height of water in the container
= 18 - 9
= 9 cm
Volume of water poured into the container
= 25 x 22 x 9
= 4950 mℓ
(b)
Volume of the water after some water was poured in
= 25 x 22 x 18
= 9900 cm
3
1.7 ℓ = 1700 mℓ
Number of pitchers
= 9900 ÷ 1700
= 5 r 1400
Least number of pitchers that he would need
= 5 + 1
= 6
Answer(s): (a) 4950 mℓ; (b) 6