A container measuring 27 cm by 20 cm by 40 cm was
14 filled with water at first. Vaidev poured some water into the container. In the end, the height of the water level in the container was 17 cm as shown.
- How much water did Vaidev pour into container? Give your answer in mℓ.
- Vaidev then poured all the water in the container into several identical bottles. Given that each bottle can hold at least 1.1 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
= 17 - 10
= 7 cm
Volume of water poured into the container
= 27 x 20 x 7
= 3780 mℓ
(b)
Volume of the water after some water was poured in
= 27 x 20 x 17
= 9180 cm
3
1.1 ℓ = 1100 mℓ
Number of bottles
= 9180 ÷ 1100
= 8 r 380
Least number of bottles that he would need
= 8 + 1
= 9
Answer(s): (a) 3780 mℓ; (b) 9