A container measuring 24 cm by 20 cm by 44 cm was
14 filled with water at first. Ben poured some water into the container. In the end, the height of the water level in the container was 18 cm as shown.
- How much water did Ben pour into container? Give your answer in mℓ.
- Ben then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.4 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
14 x 44
= 11 cm
Increase in the height of water in the container
= 18 - 11
= 7 cm
Volume of water poured into the container
= 24 x 20 x 7
= 3360 mℓ
(b)
Volume of the water after some water was poured in
= 24 x 20 x 18
= 8640 cm
3
1.4 ℓ = 1400 mℓ
Number of pitchers
= 8640 ÷ 1400
= 6 r 240
Least number of pitchers that he would need
= 6 + 1
= 7
Answer(s): (a) 3360 mℓ; (b) 7