Tank L is a cubical container of edge 32 cm. It is completely filled with water. Tank M is a rectangular tank measuring 65 cm by 27 cm by 30 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 7 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
= 7 x 1.2
= 8.4 ℓ
Volume of water poured into the Tank M from Tank L
= 32 x 32 x 32
= 32768 mℓ
1000 mℓ = 1 ℓ
32768 mℓ = 32768 ÷ 1000 = 32.768 ℓ
Volume of Tank M
= 65 x 27 x 30
= 52650 mℓ
52650 mℓ = 52650 ÷ 1000 = 52.65 ℓ
Volume of more water to fill Tank M
= 52.65 - 32.768 - 8.4
= 11.482 ℓ
Answer(s): (a) 8.4 ℓ; (b) 11.482 ℓ