A container measuring 22 cm by 15 cm by 48 cm was
13 filled with water at first. Luis poured some water into the container. In the end, the height of the water level in the container was 22 cm as shown.
- How much water did Luis pour into container? Give your answer in mℓ.
- Luis then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.7 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
13 x 48
= 16 cm
Increase in the height of water in the container
= 22 - 16
= 6 cm
Volume of water poured into the container
= 22 x 15 x 6
= 1980 mℓ
(b)
Volume of the water after some water was poured in
= 22 x 15 x 22
= 7260 cm
3
1.7 ℓ = 1700 mℓ
Number of pitchers
= 7260 ÷ 1700
= 4 r 460
Least number of pitchers that he would need
= 4 + 1
= 5
Answer(s): (a) 1980 mℓ; (b) 5