Tank C is a cubical container of edge 25 cm. It is completely filled with water. Tank D is a rectangular tank measuring 54 cm by 20 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 4 minutes. Give your answer in litres.
- All the water in Tank C is then poured into Tank D without spilling. How much more water is needed to fill Tank D completely? Give your answer in litres.
(a)
Volume of water in Tank D filled by the tap
= 4 x 0.8
= 3.2 ℓ
Volume of water poured into the Tank D from Tank C
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank D
= 54 x 20 x 23
= 24840 mℓ
24840 mℓ = 24840 ÷ 1000 = 24.84 ℓ
Volume of more water to fill Tank D
= 24.84 - 15.625 - 3.2
= 6.015 ℓ
Answer(s): (a) 3.2 ℓ; (b) 6.015 ℓ