A container measuring 30 cm by 22 cm by 45 cm was
15 filled with water at first. Ivan poured some water into the container. In the end, the height of the water level in the container was 12 cm as shown.
- How much water did Ivan pour into container? Give your answer in mℓ.
- Ivan then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.5 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
= 12 - 9
= 3 cm
Volume of water poured into the container
= 30 x 22 x 3
= 1980 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 22 x 12
= 7920 cm
3
1.5 ℓ = 1500 mℓ
Number of pitchers
= 7920 ÷ 1500
= 5 r 420
Least number of pitchers that he would need
= 5 + 1
= 6
Answer(s): (a) 1980 mℓ; (b) 6