Tank J is a cubical container of edge 38 cm. It is completely filled with water. Tank K is a rectangular tank measuring 57 cm by 33 cm by 34 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 11 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
= 11 x 0.1
= 1.1 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
= 57 x 33 x 34
= 63954 mℓ
63954 mℓ = 63954 ÷ 1000 = 63.954 ℓ
Volume of more water to fill Tank K
= 63.954 - 54.872 - 1.1
= 7.982 ℓ
Answer(s): (a) 1.1 ℓ; (b) 7.982 ℓ