Tank K is a cubical container of edge 33 cm. It is completely filled with water. Tank L is a rectangular tank measuring 61 cm by 28 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank L after 8 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
= 8 x 0.3
= 2.4 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
= 61 x 28 x 29
= 49532 mℓ
49532 mℓ = 49532 ÷ 1000 = 49.532 ℓ
Volume of more water to fill Tank L
= 49.532 - 35.937 - 2.4
= 11.195 ℓ
Answer(s): (a) 2.4 ℓ; (b) 11.195 ℓ