Tank Z is a cubical container of edge 40 cm. It is completely filled with water. Tank A is a rectangular tank measuring 59 cm by 37 cm by 38 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 12 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
= 12 x 1.5
= 18 ℓ
Volume of water poured into the Tank A from Tank Z
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank A
= 59 x 37 x 38
= 82954 mℓ
82954 mℓ = 82954 ÷ 1000 = 82.954 ℓ
Volume of more water to fill Tank A
= 82.954 - 64 - 18
= 0.95399999999999 ℓ
Answer(s): (a) 18 ℓ; (b) 0.95399999999999 ℓ