Tank A is a cubical container of edge 38 cm. It is completely filled with water. Tank B is a rectangular tank measuring 62 cm by 32 cm by 35 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 4 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
= 4 x 0.2
= 0.8 ℓ
Volume of water poured into the Tank B from Tank A
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank B
= 62 x 32 x 35
= 69440 mℓ
69440 mℓ = 69440 ÷ 1000 = 69.44 ℓ
Volume of more water to fill Tank B
= 69.44 - 54.872 - 0.8
= 13.768 ℓ
Answer(s): (a) 0.8 ℓ; (b) 13.768 ℓ