Tank B is a cubical container of edge 26 cm. It is completely filled with water. Tank C is a rectangular tank measuring 55 cm by 23 cm by 24 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 8 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
= 8 x 0.2
= 1.6 ℓ
Volume of water poured into the Tank C from Tank B
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank C
= 55 x 23 x 24
= 30360 mℓ
30360 mℓ = 30360 ÷ 1000 = 30.36 ℓ
Volume of more water to fill Tank C
= 30.36 - 17.576 - 1.6
= 11.184 ℓ
Answer(s): (a) 1.6 ℓ; (b) 11.184 ℓ