Tank J is a cubical container of edge 37 cm. It is completely filled with water. Tank K is a rectangular tank measuring 62 cm by 33 cm by 34 cm. It is filled with water flowing from a tap at a rate of 1.5 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 1.5
= 7.5 ℓ
Volume of water poured into the Tank K from Tank J
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank K
= 62 x 33 x 34
= 69564 mℓ
69564 mℓ = 69564 ÷ 1000 = 69.564 ℓ
Volume of more water to fill Tank K
= 69.564 - 50.653 - 7.5
= 11.411 ℓ
Answer(s): (a) 7.5 ℓ; (b) 11.411 ℓ