A container measuring 28 cm by 20 cm by 50 cm was
15 filled with water at first. Mark 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 Mark pour into container? Give your answer in mℓ.
- Mark 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 50
= 10 cm
Increase in the height of water in the container
= 13 - 10
= 3 cm
Volume of water poured into the container
= 28 x 20 x 3
= 1680 mℓ
(b)
Volume of the water after some water was poured in
= 28 x 20 x 13
= 7280 cm
3
1.6 ℓ = 1600 mℓ
Number of pitchers
= 7280 ÷ 1600
= 4 r 880
Least number of pitchers that he would need
= 4 + 1
= 5
Answer(s): (a) 1680 mℓ; (b) 5