Tank J is a cubical container of edge 38 cm. It is completely filled with water. Tank K is a rectangular tank measuring 56 cm by 33 cm by 35 cm. It is filled with water flowing from a tap at a rate of 0.7 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 0.7
= 5.6 ℓ
Volume of water poured into the Tank K from Tank J
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank K
= 56 x 33 x 35
= 64680 mℓ
64680 mℓ = 64680 ÷ 1000 = 64.68 ℓ
Volume of more water to fill Tank K
= 64.68 - 54.872 - 5.6
= 4.208 ℓ
Answer(s): (a) 5.6 ℓ; (b) 4.208 ℓ