Tank J is a cubical container of edge 40 cm. It is completely filled with water. Tank K is a rectangular tank measuring 53 cm by 35 cm by 38 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 8 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
= 8 x 0.8
= 6.4 ℓ
Volume of water poured into the Tank K from Tank J
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank K
= 53 x 35 x 38
= 70490 mℓ
70490 mℓ = 70490 ÷ 1000 = 70.49 ℓ
Volume of more water to fill Tank K
= 70.49 - 64 - 6.4
= 0.089999999999995 ℓ
Answer(s): (a) 6.4 ℓ; (b) 0.089999999999995 ℓ