Tank L is a cubical container of edge 38 cm. It is completely filled with water. Tank M is a rectangular tank measuring 63 cm by 34 cm by 36 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 10 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
= 10 x 1.5
= 15 ℓ
Volume of water poured into the Tank M from Tank L
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank M
= 63 x 34 x 36
= 77112 mℓ
77112 mℓ = 77112 ÷ 1000 = 77.112 ℓ
Volume of more water to fill Tank M
= 77.112 - 54.872 - 15
= 7.24 ℓ
Answer(s): (a) 15 ℓ; (b) 7.24 ℓ