A container measuring 20 cm by 12 cm by 52 cm was
14 filled with water at first. Ben 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 Ben pour into container? Give your answer in mℓ.
- Ben then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.2 ℓ of water, what is the least number of jugs he would need?
(a)
Height of water in the container at first
=
14 x 52
= 13 cm
Increase in the height of water in the container
= 21 - 13
= 8 cm
Volume of water poured into the container
= 20 x 12 x 8
= 1920 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 12 x 21
= 5040 cm
3
1.2 ℓ = 1200 mℓ
Number of jugs
= 5040 ÷ 1200
= 4 r 240
Least number of jugs that he would need
= 4 + 1
= 5
Answer(s): (a) 1920 mℓ; (b) 5