Tank J is a cubical container of edge 23 cm. It is completely filled with water. Tank K is a rectangular tank measuring 61 cm by 20 cm by 21 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
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank K
= 61 x 20 x 21
= 25620 mℓ
25620 mℓ = 25620 ÷ 1000 = 25.62 ℓ
Volume of more water to fill Tank K
= 25.62 - 12.167 - 3.5
= 9.953 ℓ
Answer(s): (a) 3.5 ℓ; (b) 9.953 ℓ