Tank B is a cubical container of edge 39 cm. It is completely filled with water. Tank C is a rectangular tank measuring 58 cm by 36 cm by 37 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 6 minutes. Give your answer in litres.
- All the water in Tank B is then poured into Tank C without spilling. How much more water is needed to fill Tank C completely? Give your answer in litres.
(a)
Volume of water in Tank C filled by the tap
= 6 x 0.6
= 3.6 ℓ
Volume of water poured into the Tank C from Tank B
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank C
= 58 x 36 x 37
= 77256 mℓ
77256 mℓ = 77256 ÷ 1000 = 77.256 ℓ
Volume of more water to fill Tank C
= 77.256 - 59.319 - 3.6
= 14.337 ℓ
Answer(s): (a) 3.6 ℓ; (b) 14.337 ℓ