Tank A is a cubical container of edge 33 cm. It is completely filled with water. Tank B is a rectangular tank measuring 57 cm by 27 cm by 30 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 9 minutes. Give your answer in litres.
- All the water in Tank A is then poured into Tank B without spilling. How much more water is needed to fill Tank B completely? Give your answer in litres.
(a)
Volume of water in Tank B filled by the tap
= 9 x 0.5
= 4.5 ℓ
Volume of water poured into the Tank B from Tank A
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank B
= 57 x 27 x 30
= 46170 mℓ
46170 mℓ = 46170 ÷ 1000 = 46.17 ℓ
Volume of more water to fill Tank B
= 46.17 - 35.937 - 4.5
= 5.733 ℓ
Answer(s): (a) 4.5 ℓ; (b) 5.733 ℓ