Tank T is a cubical container of edge 40 cm. It is completely filled with water. Tank U is a rectangular tank measuring 63 cm by 33 cm by 37 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank U after 7 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
= 7 x 1.1
= 7.7 ℓ
Volume of water poured into the Tank U from Tank T
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank U
= 63 x 33 x 37
= 76923 mℓ
76923 mℓ = 76923 ÷ 1000 = 76.923 ℓ
Volume of more water to fill Tank U
= 76.923 - 64 - 7.7
= 5.223 ℓ
Answer(s): (a) 7.7 ℓ; (b) 5.223 ℓ