Tank K is a cubical container of edge 33 cm. It is completely filled with water. Tank L is a rectangular tank measuring 54 cm by 27 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.9 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank L after 6 minutes. Give your answer in litres.
- All the water in Tank K is then poured into Tank L without spilling. How much more water is needed to fill Tank L completely? Give your answer in litres.
(a)
Volume of water in Tank L filled by the tap
= 6 x 0.9
= 5.4 ℓ
Volume of water poured into the Tank L from Tank K
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank L
= 54 x 27 x 29
= 42282 mℓ
42282 mℓ = 42282 ÷ 1000 = 42.282 ℓ
Volume of more water to fill Tank L
= 42.282 - 35.937 - 5.4
= 0.945 ℓ
Answer(s): (a) 5.4 ℓ; (b) 0.945 ℓ