Tank X is a cubical container of edge 26 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 53 cm by 21 cm by 24 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 4 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
= 4 x 1.2
= 4.8 ℓ
Volume of water poured into the Tank Y from Tank X
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank Y
= 53 x 21 x 24
= 26712 mℓ
26712 mℓ = 26712 ÷ 1000 = 26.712 ℓ
Volume of more water to fill Tank Y
= 26.712 - 17.576 - 4.8
= 4.336 ℓ
Answer(s): (a) 4.8 ℓ; (b) 4.336 ℓ