A container measuring 30 cm by 26 cm by 44 cm was
14 filled with water at first. Justin poured some water into the container. In the end, the height of the water level in the container was 19 cm as shown.
- How much water did Justin pour into container? Give your answer in mℓ.
- Justin then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.7 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
14 x 44
= 11 cm
Increase in the height of water in the container
= 19 - 11
= 8 cm
Volume of water poured into the container
= 30 x 26 x 8
= 6240 mℓ
(b)
Volume of the water after some water was poured in
= 30 x 26 x 19
= 14820 cm
3
1.7 ℓ = 1700 mℓ
Number of pitchers
= 14820 ÷ 1700
= 8 r 1220
Least number of pitchers that he would need
= 8 + 1
= 9
Answer(s): (a) 6240 mℓ; (b) 9