A container measuring 20 cm by 13 cm by 42 cm was
13 filled with water at first. Nick poured some water into the container. In the end, the height of the water level in the container was 22 cm as shown.
- How much water did Nick pour into container? Give your answer in mℓ.
- Nick then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.2 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
13 x 42
= 14 cm
Increase in the height of water in the container
= 22 - 14
= 8 cm
Volume of water poured into the container
= 20 x 13 x 8
= 2080 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 13 x 22
= 5720 cm
3
1.2 ℓ = 1200 mℓ
Number of pitchers
= 5720 ÷ 1200
= 4 r 920
Least number of pitchers that he would need
= 4 + 1
= 5
Answer(s): (a) 2080 mℓ; (b) 5