Tank B is a cubical container of edge 33 cm. It is completely filled with water. Tank C is a rectangular tank measuring 54 cm by 29 cm by 31 cm. It is filled with water flowing from a tap at a rate of 1.8 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 4 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
= 4 x 1.8
= 7.2 ℓ
Volume of water poured into the Tank C from Tank B
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank C
= 54 x 29 x 31
= 48546 mℓ
48546 mℓ = 48546 ÷ 1000 = 48.546 ℓ
Volume of more water to fill Tank C
= 48.546 - 35.937 - 7.2
= 5.409 ℓ
Answer(s): (a) 7.2 ℓ; (b) 5.409 ℓ