A container measuring 23 cm by 20 cm by 51 cm was
13 filled with water at first. Ian poured some water into the container. In the end, the height of the water level in the container was 26 cm as shown.
- How much water did Ian pour into container? Give your answer in mℓ.
- Ian then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.5 ℓ of water, what is the least number of bottles he would need?
(a)
Height of water in the container at first
=
13 x 51
= 17 cm
Increase in the height of water in the container
= 26 - 17
= 9 cm
Volume of water poured into the container
= 23 x 20 x 9
= 4140 mℓ
(b)
Volume of the water after some water was poured in
= 23 x 20 x 26
= 11960 cm
3
1.5 ℓ = 1500 mℓ
Number of bottles
= 11960 ÷ 1500
= 7 r 1460
Least number of bottles that he would need
= 7 + 1
= 8
Answer(s): (a) 4140 mℓ; (b) 8