Tank K is a cubical container of edge 39 cm. It is completely filled with water. Tank L is a rectangular tank measuring 59 cm by 36 cm by 37 cm. It is filled with water flowing from a tap at a rate of 1.6 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 1.6
= 12.8 ℓ
Volume of water poured into the Tank L from Tank K
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank L
= 59 x 36 x 37
= 78588 mℓ
78588 mℓ = 78588 ÷ 1000 = 78.588 ℓ
Volume of more water to fill Tank L
= 78.588 - 59.319 - 12.8
= 6.469 ℓ
Answer(s): (a) 12.8 ℓ; (b) 6.469 ℓ