The figure is not drawn to scale. Tank C and Tank D have base areas of 1500 cm
2 and 1000 cm
2 respectively. Water was poured into an empty rectangular Tank C until it reached a height of 22 cm. Some of the water was then poured from Tank C into Tank D 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 C.
- How many litres of water were poured into Tank D?
(a)
Volume of water in Tank C
= 1500 x 22
= 33000 cm
3 (Base area x height)
1 ℓ = 1000 cm
3 2.5 ℓ = 2500 cm
3 Total volume of Tank C and Tank D
= 33000 + 2500
= 35500 cm
3 Total base area of Tank C and Tank D
= 1500 + 1000
= 2500 cm²
Height of Tank C after
= 35500 ÷ 2500
= 14.2 cm
(b)
Volume of water in Tank D after pouring
= 1000 x 14.2
= 14200 cm
3 Volume of water poured into Tank D
= 14200 - 1000
= 13200 cm
3 13200 mℓ = 13.2 ℓ
Answer(s): (a) 14.2 cm; (b) 13.2 ℓ