Tank L is a cubical container of edge 25 cm. It is completely filled with water. Tank M is a rectangular tank measuring 65 cm by 19 cm by 21 cm. It is filled with water flowing from a tap at a rate of 0.9 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 9 minutes. Give your answer in litres.
- All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
(a)
Volume of water in Tank M filled by the tap
= 9 x 0.9
= 8.1 ℓ
Volume of water poured into the Tank M from Tank L
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank M
= 65 x 19 x 21
= 25935 mℓ
25935 mℓ = 25935 ÷ 1000 = 25.935 ℓ
Volume of more water to fill Tank M
= 25.935 - 15.625 - 8.1
= 2.21 ℓ
Answer(s): (a) 8.1 ℓ; (b) 2.21 ℓ