Tank B is a cubical container of edge 40 cm. It is completely filled with water. Tank C is a rectangular tank measuring 59 cm by 34 cm by 38 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 5 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
= 5 x 0.1
= 0.5 ℓ
Volume of water poured into the Tank C from Tank B
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank C
= 59 x 34 x 38
= 76228 mℓ
76228 mℓ = 76228 ÷ 1000 = 76.228 ℓ
Volume of more water to fill Tank C
= 76.228 - 64 - 0.5
= 11.728 ℓ
Answer(s): (a) 0.5 ℓ; (b) 11.728 ℓ