A container measuring 30 cm by 25 cm by 54 cm was
13 filled with water at first. Neave poured some water into the container. In the end, the height of the water level in the container was 25 cm as shown.
- How much water did Neave pour into container? Give your answer in mℓ.
- Neave 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
=
13 x 54
= 18 cm
Increase in the height of water in the container
= 25 - 18
= 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 25
= 18750 cm
3
1.3 ℓ = 1300 mℓ
Number of pitchers
= 18750 ÷ 1300
= 14 r 550
Least number of pitchers that he would need
= 14 + 1
= 15
Answer(s): (a) 5250 mℓ; (b) 15