Tank L is a cubical container of edge 21 cm. It is completely filled with water. Tank M is a rectangular tank measuring 53 cm by 15 cm by 19 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 11 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
= 11 x 0.4
= 4.4 ℓ
Volume of water poured into the Tank M from Tank L
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank M
= 53 x 15 x 19
= 15105 mℓ
15105 mℓ = 15105 ÷ 1000 = 15.105 ℓ
Volume of more water to fill Tank M
= 15.105 - 9.261 - 4.4
= 1.444 ℓ
Answer(s): (a) 4.4 ℓ; (b) 1.444 ℓ