Tank C is a cubical container of edge 28 cm. It is completely filled with water. Tank D is a rectangular tank measuring 54 cm by 22 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 7 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
= 7 x 0.7
= 4.9 ℓ
Volume of water poured into the Tank D from Tank C
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank D
= 54 x 22 x 25
= 29700 mℓ
29700 mℓ = 29700 ÷ 1000 = 29.7 ℓ
Volume of more water to fill Tank D
= 29.7 - 21.952 - 4.9
= 2.848 ℓ
Answer(s): (a) 4.9 ℓ; (b) 2.848 ℓ