Tank H is a cubical container of edge 38 cm. It is completely filled with water. Tank J is a rectangular tank measuring 64 cm by 32 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 5 minutes. Give your answer in litres.
- All the water in Tank H is then poured into Tank J without spilling. How much more water is needed to fill Tank J completely? Give your answer in litres.
(a)
Volume of water in Tank J filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank J from Tank H
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank J
= 64 x 32 x 36
= 73728 mℓ
73728 mℓ = 73728 ÷ 1000 = 73.728 ℓ
Volume of more water to fill Tank J
= 73.728 - 54.872 - 1
= 17.856 ℓ
Answer(s): (a) 1 ℓ; (b) 17.856 ℓ