A container measuring 23 cm by 20 cm by 50 cm was
15 filled with water at first. Glen 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 Glen pour into container? Give your answer in mℓ.
- Glen 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
=
15 x 50
= 10 cm
Increase in the height of water in the container
= 14 - 10
= 4 cm
Volume of water poured into the container
= 23 x 20 x 4
= 1840 mℓ
(b)
Volume of the water after some water was poured in
= 23 x 20 x 14
= 6440 cm
3
1.4 ℓ = 1400 mℓ
Number of pitchers
= 6440 ÷ 1400
= 4 r 840
Least number of pitchers that he would need
= 4 + 1
= 5
Answer(s): (a) 1840 mℓ; (b) 5