Tank J is a cubical container of edge 20 cm. It is completely filled with water. Tank K is a rectangular tank measuring 51 cm by 17 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 5 minutes. Give your answer in litres.
- All the water in Tank J is then poured into Tank K without spilling. How much more water is needed to fill Tank K completely? Give your answer in litres.
(a)
Volume of water in Tank K filled by the tap
= 5 x 0.7
= 3.5 ℓ
Volume of water poured into the Tank K from Tank J
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank K
= 51 x 17 x 18
= 15606 mℓ
15606 mℓ = 15606 ÷ 1000 = 15.606 ℓ
Volume of more water to fill Tank K
= 15.606 - 8 - 3.5
= 4.106 ℓ
Answer(s): (a) 3.5 ℓ; (b) 4.106 ℓ