A container measuring 20 cm by 16 cm by 51 cm was
13 filled with water at first. Mark poured some water into the container. In the end, the height of the water level in the container was 21 cm as shown.
- How much water did Mark pour into container? Give your answer in mℓ.
- Mark 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 51
= 17 cm
Increase in the height of water in the container
= 21 - 17
= 4 cm
Volume of water poured into the container
= 20 x 16 x 4
= 1280 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 16 x 21
= 6720 cm
3
1.2 ℓ = 1200 mℓ
Number of bottles
= 6720 ÷ 1200
= 5 r 720
Least number of bottles that he would need
= 5 + 1
= 6
Answer(s): (a) 1280 mℓ; (b) 6