A container measuring 30 cm by 25 cm by 52 cm was
14 filled with water at first. Xavier poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did Xavier pour into container? Give your answer in mℓ.
- Xavier then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.8 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
14 x 52
= 13 cm
Increase in the height of water in the container
= 20 - 13
= 7 cm
Volume of water poured into the container
= 30 x 25 x 7
= 5250 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 25 x 20
= 15000 cm
3
1.8 ℓ = 1800 mℓ
Number of pitchers
= 15000 ÷ 1800
= 8 r 600
Least number of pitchers that he would need
= 8 + 1
= 9
Answer(s): (a) 5250 mℓ; (b) 9