A container measuring 29 cm by 24 cm by 55 cm was
15 filled with water at first. Owen 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 Owen pour into container? Give your answer in mℓ.
- Owen then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.7 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
= 29 x 24 x 9
= 6264 mℓ
(b)
Volume of the water after some water was poured in
= 29 x 24 x 20
= 13920 cm
3
1.7 ℓ = 1700 mℓ
Number of pitchers
= 13920 ÷ 1700
= 8 r 320
Least number of pitchers that he would need
= 8 + 1
= 9
Answer(s): (a) 6264 mℓ; (b) 9