Tank Y is a cubical container of edge 38 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 63 cm by 30 cm by 33 cm. It is filled with water flowing from a tap at a rate of 1.3 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 1.3
= 6.5 ℓ
Volume of water poured into the Tank Z from Tank Y
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank Z
= 63 x 30 x 33
= 62370 mℓ
62370 mℓ = 62370 ÷ 1000 = 62.37 ℓ
Volume of more water to fill Tank Z
= 62.37 - 54.872 - 6.5
= 0.998 ℓ
Answer(s): (a) 6.5 ℓ; (b) 0.998 ℓ