Tank T is a cubical container of edge 36 cm. It is completely filled with water. Tank U is a rectangular tank measuring 61 cm by 29 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank U after 5 minutes. Give your answer in litres.
- All the water in Tank T is then poured into Tank U without spilling. How much more water is needed to fill Tank U completely? Give your answer in litres.
(a)
Volume of water in Tank U filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank U from Tank T
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank U
= 61 x 29 x 33
= 58377 mℓ
58377 mℓ = 58377 ÷ 1000 = 58.377 ℓ
Volume of more water to fill Tank U
= 58.377 - 46.656 - 1
= 10.721 ℓ
Answer(s): (a) 1 ℓ; (b) 10.721 ℓ