A container measuring 20 cm by 13 cm by 54 cm was
13 filled with water at first. Glen poured some water into the container. In the end, the height of the water level in the container was 25 cm as shown.
- How much water did Glen pour into container? Give your answer in mℓ.
- Glen 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
=
13 x 54
= 18 cm
Increase in the height of water in the container
= 25 - 18
= 7 cm
Volume of water poured into the container
= 20 x 13 x 7
= 1820 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 13 x 25
= 6500 cm
3
1.2 ℓ = 1200 mℓ
Number of bottles
= 6500 ÷ 1200
= 5 r 500
Least number of bottles that he would need
= 5 + 1
= 6
Answer(s): (a) 1820 mℓ; (b) 6