A container measuring 29 cm by 24 cm by 48 cm was
14 filled with water at first. Charlie 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 Charlie pour into container? Give your answer in mℓ.
- Charlie then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.1 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
14 x 48
= 12 cm
Increase in the height of water in the container
= 15 - 12
= 3 cm
Volume of water poured into the container
= 29 x 24 x 3
= 2088 mℓ
(b)
Volume of the water after some water was poured in
= 29 x 24 x 15
= 10440 cm
3
1.1 ℓ = 1100 mℓ
Number of bottles
= 10440 ÷ 1100
= 9 r 540
Least number of bottles that he would need
= 9 + 1
= 10
Answer(s): (a) 2088 mℓ; (b) 10