A container measuring 30 cm by 22 cm by 40 cm was
14 filled with water at first. Ben poured some water into the container. In the end, the height of the water level in the container was 14 cm as shown.
- How much water did Ben pour into container? Give your answer in mℓ.
- Ben 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
= 14 - 10
= 4 cm
Volume of water poured into the container
= 30 x 22 x 4
= 2640 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 22 x 14
= 9240 cm
3
1.2 ℓ = 1200 mℓ
Number of bottles
= 9240 ÷ 1200
= 7 r 840
Least number of bottles that he would need
= 7 + 1
= 8
Answer(s): (a) 2640 mℓ; (b) 8