A container measuring 20 cm by 17 cm by 42 cm was
13 filled with water at first. Wesley poured some water into the container. In the end, the height of the water level in the container was 23 cm as shown.
- How much water did Wesley pour into container? Give your answer in mℓ.
- Wesley then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.6 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
13 x 42
= 14 cm
Increase in the height of water in the container
= 23 - 14
= 9 cm
Volume of water poured into the container
= 20 x 17 x 9
= 3060 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 17 x 23
= 7820 cm
3
1.6 ℓ = 1600 mℓ
Number of bottles
= 7820 ÷ 1600
= 4 r 1420
Least number of bottles that he would need
= 4 + 1
= 5
Answer(s): (a) 3060 mℓ; (b) 5