A container measuring 20 cm by 17 cm by 40 cm was
15 filled with water at first. Xavier 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 Xavier pour into container? Give your answer in mℓ.
- Xavier then poured all the water in the container into several identical flasks. Given that each flask can hold at least 1.7 ℓ of water, what is the least number of flasks he would need?
(a)
Height of water in the container at first
=
15 x 40
= 8 cm
Increase in the height of water in the container
= 17 - 8
= 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 17
= 5780 cm
3
1.7 ℓ = 1700 mℓ
Number of flasks
= 5780 ÷ 1700
= 3 r 680
Least number of flasks that he would need
= 3 + 1
= 4
Answer(s): (a) 3060 mℓ; (b) 4