A container measuring 20 cm by 17 cm by 45 cm was
13 filled with water at first. Howard 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 Howard pour into container? Give your answer in mℓ.
- Howard then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.3 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
13 x 45
= 15 cm
Increase in the height of water in the container
= 21 - 15
= 6 cm
Volume of water poured into the container
= 20 x 17 x 6
= 2040 mℓ
(b)
Volume of the water after some water was poured in
= 20 x 17 x 21
= 7140 cm
3
1.3 ℓ = 1300 mℓ
Number of pitchers
= 7140 ÷ 1300
= 5 r 640
Least number of pitchers that he would need
= 5 + 1
= 6
Answer(s): (a) 2040 mℓ; (b) 6