Tank J is a cubical container of edge 25 cm. It is completely filled with water. Tank K is a rectangular tank measuring 53 cm by 21 cm by 22 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 9 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
= 9 x 0.3
= 2.7 ℓ
Volume of water poured into the Tank K from Tank J
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank K
= 53 x 21 x 22
= 24486 mℓ
24486 mℓ = 24486 ÷ 1000 = 24.486 ℓ
Volume of more water to fill Tank K
= 24.486 - 15.625 - 2.7
= 6.161 ℓ
Answer(s): (a) 2.7 ℓ; (b) 6.161 ℓ