A container measuring 30 cm by 24 cm by 45 cm was
15 filled with water at first. Albert poured some water into the container. In the end, the height of the water level in the container was 13 cm as shown.
- How much water did Albert pour into container? Give your answer in mℓ.
- Albert then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.3 ℓ of water, what is the least number of bottles 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
= 13 - 9
= 4 cm
Volume of water poured into the container
= 30 x 24 x 4
= 2880 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 24 x 13
= 9360 cm
3
1.3 ℓ = 1300 mℓ
Number of bottles
= 9360 ÷ 1300
= 7 r 260
Least number of bottles that he would need
= 7 + 1
= 8
Answer(s): (a) 2880 mℓ; (b) 8