A container measuring 27 cm by 24 cm by 55 cm was
15 filled with water at first. Ahmad poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did Ahmad pour into container? Give your answer in mℓ.
- Ahmad 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 55
= 11 cm
Increase in the height of water in the container
= 20 - 11
= 9 cm
Volume of water poured into the container
= 27 x 24 x 9
= 5832 mℓ
(b)
Volume of the water after some water was poured in
= 27 x 24 x 20
= 12960 cm
3
1.4 ℓ = 1400 mℓ
Number of pitchers
= 12960 ÷ 1400
= 9 r 360
Least number of pitchers that he would need
= 9 + 1
= 10
Answer(s): (a) 5832 mℓ; (b) 10