The figure is not drawn to scale. Tank F and Tank G have base areas of 1500 cm
2 and 1000 cm
2 respectively. Water was poured into an empty rectangular Tank F until it reached a height of 30 cm. Some of the water was then poured from Tank F into Tank G which contained 2.5 ℓ of water until the height of the water in both tanks were the same.
- Find the new height of the water in Tank F.
- How many litres of water were poured into Tank G?
(a)
Volume of water in Tank F
= 1500 x 30
= 45000 cm
3 (Base area x height)
1 ℓ = 1000 cm
3 2.5 ℓ = 2500 cm
3 Total volume of Tank F and Tank G
= 45000 + 2500
= 47500 cm
3 Total base area of Tank F and Tank G
= 1500 + 1000
= 2500 cm²
Height of Tank F after
= 47500 ÷ 2500
= 19 cm
(b)
Volume of water in Tank G after pouring
= 1000 x 19
= 19000 cm
3 Volume of water poured into Tank G
= 19000 - 1000
= 18000 cm
3 18000 mℓ = 18 ℓ
Answer(s): (a) 19 cm; (b) 18 ℓ