Tank K is a cubical container of edge 30 cm. It is completely filled with water. Tank L is a rectangular tank measuring 62 cm by 26 cm by 27 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank L after 7 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
= 7 x 1.1
= 7.7 ℓ
Volume of water poured into the Tank L from Tank K
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank L
= 62 x 26 x 27
= 43524 mℓ
43524 mℓ = 43524 ÷ 1000 = 43.524 ℓ
Volume of more water to fill Tank L
= 43.524 - 27 - 7.7
= 8.824 ℓ
Answer(s): (a) 7.7 ℓ; (b) 8.824 ℓ