A container measuring 25 cm by 20 cm by 54 cm was
13 filled with water at first. Albert poured some water into the container. In the end, the height of the water level in the container was 26 cm as shown.
- How much water did Albert pour into container? Give your answer in mℓ.
- Albert then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.1 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
= 26 - 18
= 8 cm
Volume of water poured into the container
= 25 x 20 x 8
= 4000 mℓ
(b)
Volume of the water after some water was poured in
= 25 x 20 x 26
= 13000 cm
3
1.1 ℓ = 1100 mℓ
Number of pitchers
= 13000 ÷ 1100
= 11 r 900
Least number of pitchers that he would need
= 11 + 1
= 12
Answer(s): (a) 4000 mℓ; (b) 12