Tank K is a cubical container of edge 24 cm. It is completely filled with water. Tank L is a rectangular tank measuring 55 cm by 21 cm by 22 cm. It is filled with water flowing from a tap at a rate of 0.2 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 0.2
= 1.6 ℓ
Volume of water poured into the Tank L from Tank K
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank L
= 55 x 21 x 22
= 25410 mℓ
25410 mℓ = 25410 ÷ 1000 = 25.41 ℓ
Volume of more water to fill Tank L
= 25.41 - 13.824 - 1.6
= 9.986 ℓ
Answer(s): (a) 1.6 ℓ; (b) 9.986 ℓ