Tank J is a cubical container of edge 36 cm. It is completely filled with water. Tank K is a rectangular tank measuring 63 cm by 30 cm by 34 cm. It is filled with water flowing from a tap at a rate of 2.5 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 4 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
= 4 x 2.5
= 10 ℓ
Volume of water poured into the Tank K from Tank J
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank K
= 63 x 30 x 34
= 64260 mℓ
64260 mℓ = 64260 ÷ 1000 = 64.26 ℓ
Volume of more water to fill Tank K
= 64.26 - 46.656 - 10
= 7.604 ℓ
Answer(s): (a) 10 ℓ; (b) 7.604 ℓ