A container measuring 30 cm by 24 cm by 48 cm was
14 filled with water at first. Harry poured some water into the container. In the end, the height of the water level in the container was 21 cm as shown.
- How much water did Harry pour into container? Give your answer in mℓ.
- Harry 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
=
14 x 48
= 12 cm
Increase in the height of water in the container
= 21 - 12
= 9 cm
Volume of water poured into the container
= 30 x 24 x 9
= 6480 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 24 x 21
= 15120 cm
3
1.3 ℓ = 1300 mℓ
Number of pitchers
= 15120 ÷ 1300
= 11 r 820
Least number of pitchers that he would need
= 11 + 1
= 12
Answer(s): (a) 6480 mℓ; (b) 12