A container measuring 29 cm by 25 cm by 55 cm was
15 filled with water at first. Peter poured some water into the container. In the end, the height of the water level in the container was 14 cm as shown.
- How much water did Peter pour into container? Give your answer in mℓ.
- Peter then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.6 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
15 x 55
= 11 cm
Increase in the height of water in the container
= 14 - 11
= 3 cm
Volume of water poured into the container
= 29 x 25 x 3
= 2175 mℓ
(b)
Volume of the water after some water was poured in
= 29 x 25 x 14
= 10150 cm
3
1.6 ℓ = 1600 mℓ
Number of pitchers
= 10150 ÷ 1600
= 6 r 550
Least number of pitchers that he would need
= 6 + 1
= 7
Answer(s): (a) 2175 mℓ; (b) 7