Tank Y is a cubical container of edge 37 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 63 cm by 32 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 5 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
= 5 x 0.4
= 2 ℓ
Volume of water poured into the Tank Z from Tank Y
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank Z
= 63 x 32 x 33
= 66528 mℓ
66528 mℓ = 66528 ÷ 1000 = 66.528 ℓ
Volume of more water to fill Tank Z
= 66.528 - 50.653 - 2
= 13.875 ℓ
Answer(s): (a) 2 ℓ; (b) 13.875 ℓ