Tank B is a cubical container of edge 23 cm. It is completely filled with water. Tank C is a rectangular tank measuring 65 cm by 19 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 10 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
= 10 x 0.4
= 4 ℓ
Volume of water poured into the Tank C from Tank B
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank C
= 65 x 19 x 20
= 24700 mℓ
24700 mℓ = 24700 ÷ 1000 = 24.7 ℓ
Volume of more water to fill Tank C
= 24.7 - 12.167 - 4
= 8.533 ℓ
Answer(s): (a) 4 ℓ; (b) 8.533 ℓ