A container measuring 24 cm by 20 cm by 40 cm was
14 filled with water at first. Elijah poured some water into the container. In the end, the height of the water level in the container was 19 cm as shown.
- How much water did Elijah pour into container? Give your answer in mℓ.
- Elijah 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
=
14 x 40
= 10 cm
Increase in the height of water in the container
= 19 - 10
= 9 cm
Volume of water poured into the container
= 24 x 20 x 9
= 4320 mℓ
(b)
Volume of the water after some water was poured in
= 24 x 20 x 19
= 9120 cm
3
1.1 ℓ = 1100 mℓ
Number of pitchers
= 9120 ÷ 1100
= 8 r 320
Least number of pitchers that he would need
= 8 + 1
= 9
Answer(s): (a) 4320 mℓ; (b) 9