Tank B is a cubical container of edge 38 cm. It is completely filled with water. Tank C is a rectangular tank measuring 50 cm by 34 cm by 35 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 5 minutes. Give your answer in litres.
- All the water in Tank B is then poured into Tank C without spilling. How much more water is needed to fill Tank C completely? Give your answer in litres.
(a)
Volume of water in Tank C filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank C from Tank B
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank C
= 50 x 34 x 35
= 59500 mℓ
59500 mℓ = 59500 ÷ 1000 = 59.5 ℓ
Volume of more water to fill Tank C
= 59.5 - 54.872 - 1
= 3.628 ℓ
Answer(s): (a) 1 ℓ; (b) 3.628 ℓ