Tank Z is a cubical container of edge 23 cm. It is completely filled with water. Tank A is a rectangular tank measuring 54 cm by 19 cm by 21 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 5 minutes. Give your answer in litres.
- All the water in Tank Z is then poured into Tank A without spilling. How much more water is needed to fill Tank A completely? Give your answer in litres.
(a)
Volume of water in Tank A filled by the tap
= 5 x 1.2
= 6 ℓ
Volume of water poured into the Tank A from Tank Z
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank A
= 54 x 19 x 21
= 21546 mℓ
21546 mℓ = 21546 ÷ 1000 = 21.546 ℓ
Volume of more water to fill Tank A
= 21.546 - 12.167 - 6
= 3.379 ℓ
Answer(s): (a) 6 ℓ; (b) 3.379 ℓ