A container measuring 28 cm by 24 cm by 40 cm was
14 filled with water at first. Tim poured some water into the container. In the end, the height of the water level in the container was 15 cm as shown.
- How much water did Tim pour into container? Give your answer in mℓ.
- Tim then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.2 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
14 x 40
= 10 cm
Increase in the height of water in the container
= 15 - 10
= 5 cm
Volume of water poured into the container
= 28 x 24 x 5
= 3360 mℓ
(b)
Volume of the water after some water was poured in
= 28 x 24 x 15
= 10080 cm
3
1.2 ℓ = 1200 mℓ
Number of bottles
= 10080 ÷ 1200
= 8 r 480
Least number of bottles that he would need
= 8 + 1
= 9
Answer(s): (a) 3360 mℓ; (b) 9