The figure is not drawn to scale. Tank A and Tank B have base areas of 3500 cm
2 and 1500 cm
2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 35 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
- Find the new height of the water in Tank A.
- How many litres of water were poured into Tank B?
(a)
Volume of water in Tank A
= 3500 x 35
= 122500 cm
3 (Base area x height)
1 ℓ = 1000 cm
3 1.5 ℓ = 1500 cm
3 Total volume of Tank A and Tank B
= 122500 + 1500
= 124000 cm
3 Total base area of Tank A and Tank B
= 3500 + 1500
= 5000 cm²
Height of Tank A after
= 124000 ÷ 5000
= 24.8 cm
(b)
Volume of water in Tank B after pouring
= 1500 x 24.8
= 37200 cm
3 Volume of water poured into Tank B
= 37200 - 1500
= 35700 cm
3 35700 mℓ = 35.7 ℓ
Answer(s): (a) 24.8 cm; (b) 35.7 ℓ