A container measuring 20 cm by 17 cm by 54 cm was
13 filled with water at first. Fred poured some water into the container. In the end, the height of the water level in the container was 27 cm as shown.
- How much water did Fred pour into container? Give your answer in mℓ.
- Fred 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
=
13 x 54
= 18 cm
Increase in the height of water in the container
= 27 - 18
= 9 cm
Volume of water poured into the container
= 20 x 17 x 9
= 3060 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 17 x 27
= 9180 cm
3
1.4 ℓ = 1400 mℓ
Number of pitchers
= 9180 ÷ 1400
= 6 r 780
Least number of pitchers that he would need
= 6 + 1
= 7
Answer(s): (a) 3060 mℓ; (b) 7