Tank Y is a cubical container of edge 26 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 59 cm by 17 cm by 21 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 12 minutes. Give your answer in litres.
- All the water in Tank Y is then poured into Tank Z without spilling. How much more water is needed to fill Tank Z completely? Give your answer in litres.
(a)
Volume of water in Tank Z filled by the tap
= 12 x 0.1
= 1.2 ℓ
Volume of water poured into the Tank Z from Tank Y
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank Z
= 59 x 17 x 21
= 21063 mℓ
21063 mℓ = 21063 ÷ 1000 = 21.063 ℓ
Volume of more water to fill Tank Z
= 21.063 - 17.576 - 1.2
= 2.287 ℓ
Answer(s): (a) 1.2 ℓ; (b) 2.287 ℓ