Tank A is a cubical container of edge 33 cm. It is completely filled with water. Tank B is a rectangular tank measuring 64 cm by 30 cm by 31 cm. It is filled with water flowing from a tap at a rate of 2.4 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 7 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
= 7 x 2.4
= 16.8 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
= 64 x 30 x 31
= 59520 mℓ
59520 mℓ = 59520 ÷ 1000 = 59.52 ℓ
Volume of more water to fill Tank B
= 59.52 - 35.937 - 16.8
= 6.783 ℓ
Answer(s): (a) 16.8 ℓ; (b) 6.783 ℓ