Tank C is a cubical container of edge 40 cm. It is completely filled with water. Tank D is a rectangular tank measuring 65 cm by 37 cm by 38 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 12 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
= 12 x 0.2
= 2.4 ℓ
Volume of water poured into the Tank D from Tank C
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank D
= 65 x 37 x 38
= 91390 mℓ
91390 mℓ = 91390 ÷ 1000 = 91.39 ℓ
Volume of more water to fill Tank D
= 91.39 - 64 - 2.4
= 24.99 ℓ
Answer(s): (a) 2.4 ℓ; (b) 24.99 ℓ