Tank L is a cubical container of edge 26 cm. It is completely filled with water. Tank M is a rectangular tank measuring 64 cm by 22 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.8 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 0.8
= 7.2 ℓ
Volume of water poured into the Tank M from Tank L
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank M
= 64 x 22 x 23
= 32384 mℓ
32384 mℓ = 32384 ÷ 1000 = 32.384 ℓ
Volume of more water to fill Tank M
= 32.384 - 17.576 - 7.2
= 7.608 ℓ
Answer(s): (a) 7.2 ℓ; (b) 7.608 ℓ