Tank K is a cubical container of edge 28 cm. It is completely filled with water. Tank L is a rectangular tank measuring 64 cm by 22 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.3 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 0.3
= 3.6 ℓ
Volume of water poured into the Tank L from Tank K
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank L
= 64 x 22 x 23
= 32384 mℓ
32384 mℓ = 32384 ÷ 1000 = 32.384 ℓ
Volume of more water to fill Tank L
= 32.384 - 21.952 - 3.6
= 6.832 ℓ
Answer(s): (a) 3.6 ℓ; (b) 6.832 ℓ