Tank T is a cubical container of edge 21 cm. It is completely filled with water. Tank U is a rectangular tank measuring 63 cm by 18 cm by 19 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank U after 4 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
= 4 x 0.2
= 0.8 ℓ
Volume of water poured into the Tank U from Tank T
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank U
= 63 x 18 x 19
= 21546 mℓ
21546 mℓ = 21546 ÷ 1000 = 21.546 ℓ
Volume of more water to fill Tank U
= 21.546 - 9.261 - 0.8
= 11.485 ℓ
Answer(s): (a) 0.8 ℓ; (b) 11.485 ℓ