Tank A is a cubical container of edge 36 cm. It is completely filled with water. Tank B is a rectangular tank measuring 64 cm by 29 cm by 33 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 6 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
= 6 x 1.5
= 9 ℓ
Volume of water poured into the Tank B from Tank A
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank B
= 64 x 29 x 33
= 61248 mℓ
61248 mℓ = 61248 ÷ 1000 = 61.248 ℓ
Volume of more water to fill Tank B
= 61.248 - 46.656 - 9
= 5.592 ℓ
Answer(s): (a) 9 ℓ; (b) 5.592 ℓ