Tank K is a cubical container of edge 22 cm. It is completely filled with water. Tank L is a rectangular tank measuring 58 cm by 15 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank L after 12 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
= 12 x 0.1
= 1.2 ℓ
Volume of water poured into the Tank L from Tank K
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank L
= 58 x 15 x 18
= 15660 mℓ
15660 mℓ = 15660 ÷ 1000 = 15.66 ℓ
Volume of more water to fill Tank L
= 15.66 - 10.648 - 1.2
= 3.812 ℓ
Answer(s): (a) 1.2 ℓ; (b) 3.812 ℓ