Tank Z is a cubical container of edge 38 cm. It is completely filled with water. Tank A is a rectangular tank measuring 62 cm by 32 cm by 35 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 8 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
= 8 x 1.1
= 8.8 ℓ
Volume of water poured into the Tank A from Tank Z
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank A
= 62 x 32 x 35
= 69440 mℓ
69440 mℓ = 69440 ÷ 1000 = 69.44 ℓ
Volume of more water to fill Tank A
= 69.44 - 54.872 - 8.8
= 5.768 ℓ
Answer(s): (a) 8.8 ℓ; (b) 5.768 ℓ