A container measuring 26 cm by 20 cm by 45 cm was
15 filled with water at first. Rael poured some water into the container. In the end, the height of the water level in the container was 16 cm as shown.
- How much water did Rael pour into container? Give your answer in mℓ.
- Rael 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 45
= 9 cm
Increase in the height of water in the container
= 16 - 9
= 7 cm
Volume of water poured into the container
= 26 x 20 x 7
= 3640 mℓ
(b)
Volume of the water after some water was poured in
= 26 x 20 x 16
= 8320 cm
3
1.6 ℓ = 1600 mℓ
Number of pitchers
= 8320 ÷ 1600
= 5 r 320
Least number of pitchers that he would need
= 5 + 1
= 6
Answer(s): (a) 3640 mℓ; (b) 6