A container measuring 25 cm by 20 cm by 40 cm was
15 filled with water at first. Sam 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 Sam pour into container? Give your answer in mℓ.
- Sam then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.3 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
= 14 - 8
= 6 cm
Volume of water poured into the container
= 25 x 20 x 6
= 3000 mℓ
(b)
Volume of the water after some water was poured in
= 25 x 20 x 14
= 7000 cm
3
1.3 ℓ = 1300 mℓ
Number of pitchers
= 7000 ÷ 1300
= 5 r 500
Least number of pitchers that he would need
= 5 + 1
= 6
Answer(s): (a) 3000 mℓ; (b) 6