The figure is not drawn to scale. Container B and Container C have base areas of 1500 cm
2 and 1000 cm
2 respectively. Water was poured into an empty rectangular Container B until it reached a height of 26 cm. Some of the water was then poured from Container B into Container C 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 B.
- How many litres of water were poured into Container C?
(a)
Volume of water in Container B
= 1500 x 26
= 39000 cm
3 (Base area x height)
1 ℓ = 1000 cm
3 1.5 ℓ = 1500 cm
3 Total volume of Container B and Container C
= 39000 + 1500
= 40500 cm
3 Total base area of Container B and Container C
= 1500 + 1000
= 2500 cm²
Height of Container B after
= 40500 ÷ 2500
= 16.2 cm
(b)
Volume of water in Container C after pouring
= 1000 x 16.2
= 16200 cm
3 Volume of water poured into Container C
= 16200 - 1000
= 15200 cm
3 15200 mℓ = 15.2 ℓ
Answer(s): (a) 16.2 cm; (b) 15.2 ℓ