A container measuring 24 cm by 17 cm by 48 cm was
13 filled with water at first. Justin 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 Justin pour into container? Give your answer in mℓ.
- Justin then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.4 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
13 x 48
= 16 cm
Increase in the height of water in the container
= 20 - 16
= 4 cm
Volume of water poured into the container
= 24 x 17 x 4
= 1632 mℓ
(b)
Volume of the water after some water was poured in
= 24 x 17 x 20
= 8160 cm
3
1.4 ℓ = 1400 mℓ
Number of bottles
= 8160 ÷ 1400
= 5 r 1160
Least number of bottles that he would need
= 5 + 1
= 6
Answer(s): (a) 1632 mℓ; (b) 6