Tank X is a cubical container of edge 32 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 59 cm by 25 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 9 minutes. Give your answer in litres.
- All the water in Tank X is then poured into Tank Y without spilling. How much more water is needed to fill Tank Y completely? Give your answer in litres.
(a)
Volume of water in Tank Y filled by the tap
= 9 x 0.8
= 7.2 ℓ
Volume of water poured into the Tank Y from Tank X
= 32 x 32 x 32
= 32768 mℓ
1000 mℓ = 1 ℓ
32768 mℓ = 32768 ÷ 1000 = 32.768 ℓ
Volume of Tank Y
= 59 x 25 x 29
= 42775 mℓ
42775 mℓ = 42775 ÷ 1000 = 42.775 ℓ
Volume of more water to fill Tank Y
= 42.775 - 32.768 - 7.2
= 2.807 ℓ
Answer(s): (a) 7.2 ℓ; (b) 2.807 ℓ