A container measuring 20 cm by 16 cm by 40 cm was
15 filled with water at first. Warren poured some water into the container. In the end, the height of the water level in the container was 13 cm as shown.
- How much water did Warren pour into container? Give your answer in mℓ.
- Warren 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 40
= 8 cm
Increase in the height of water in the container
= 13 - 8
= 5 cm
Volume of water poured into the container
= 20 x 16 x 5
= 1600 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 16 x 13
= 4160 cm
3
1.6 ℓ = 1600 mℓ
Number of pitchers
= 4160 ÷ 1600
= 2 r 960
Least number of pitchers that he would need
= 2 + 1
= 3
Answer(s): (a) 1600 mℓ; (b) 3