Tank A is a cubical container of edge 37 cm. It is completely filled with water. Tank B is a rectangular tank measuring 65 cm by 30 cm by 32 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 5 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
= 5 x 0.8
= 4 ℓ
Volume of water poured into the Tank B from Tank A
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank B
= 65 x 30 x 32
= 62400 mℓ
62400 mℓ = 62400 ÷ 1000 = 62.4 ℓ
Volume of more water to fill Tank B
= 62.4 - 50.653 - 4
= 7.747 ℓ
Answer(s): (a) 4 ℓ; (b) 7.747 ℓ