Tank J is a cubical container of edge 34 cm. It is completely filled with water. Tank K is a rectangular tank measuring 51 cm by 30 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 7 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
= 7 x 0.7
= 4.9 ℓ
Volume of water poured into the Tank K from Tank J
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank K
= 51 x 30 x 31
= 47430 mℓ
47430 mℓ = 47430 ÷ 1000 = 47.43 ℓ
Volume of more water to fill Tank K
= 47.43 - 39.304 - 4.9
= 3.226 ℓ
Answer(s): (a) 4.9 ℓ; (b) 3.226 ℓ