A container measuring 23 cm by 15 cm by 40 cm was
14 filled with water at first. Vaidev poured some water into the container. In the end, the height of the water level in the container was 14 cm as shown.
- How much water did Vaidev pour into container? Give your answer in mℓ.
- Vaidev then poured all the water in the container into several identical pitchers. Given that each pitcher can hold at least 1.4 ℓ of water, what is the least number of pitchers he would need?
(a)
Height of water in the container at first
=
14 x 40
= 10 cm
Increase in the height of water in the container
= 14 - 10
= 4 cm
Volume of water poured into the container
= 23 x 15 x 4
= 1380 mℓ
(b)
Volume of the water after some water was poured in
= 23 x 15 x 14
= 4830 cm
3
1.4 ℓ = 1400 mℓ
Number of pitchers
= 4830 ÷ 1400
= 3 r 630
Least number of pitchers that he would need
= 3 + 1
= 4
Answer(s): (a) 1380 mℓ; (b) 4