The figure is not drawn to scale. Container W and Container X have base areas of 1500 cm
2 and 1000 cm
2 respectively. Water was poured into an empty rectangular Container W until it reached a height of 29 cm. Some of the water was then poured from Container W into Container X which contained 1.5 ℓ of water until the height of the water in both containers were the same.
- Find the new height of the water in Container W.
- How many litres of water were poured into Container X?
(a)
Volume of water in Container W
= 1500 x 29
= 43500 cm
3 (Base area x height)
1 ℓ = 1000 cm
3 1.5 ℓ = 1500 cm
3 Total volume of Container W and Container X
= 43500 + 1500
= 45000 cm
3 Total base area of Container W and Container X
= 1500 + 1000
= 2500 cm²
Height of Container W after
= 45000 ÷ 2500
= 18 cm
(b)
Volume of water in Container X after pouring
= 1000 x 18
= 18000 cm
3 Volume of water poured into Container X
= 18000 - 1000
= 17000 cm
3 17000 mℓ = 17 ℓ
Answer(s): (a) 18 cm; (b) 17 ℓ