A container measuring 26 cm by 20 cm by 51 cm was
13 filled with water at first. Andy poured some water into the container. In the end, the height of the water level in the container was 23 cm as shown.
- How much water did Andy pour into container? Give your answer in mℓ.
- Andy 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 51
= 17 cm
Increase in the height of water in the container
= 23 - 17
= 6 cm
Volume of water poured into the container
= 26 x 20 x 6
= 3120 mℓ
(b)
Volume of the water after some water was poured in
= 26 x 20 x 23
= 11960 cm
3
1.4 ℓ = 1400 mℓ
Number of pitchers
= 11960 ÷ 1400
= 8 r 760
Least number of pitchers that he would need
= 8 + 1
= 9
Answer(s): (a) 3120 mℓ; (b) 9