Tank H is a cubical container of edge 33 cm. It is completely filled with water. Tank J is a rectangular tank measuring 57 cm by 30 cm by 31 cm. It is filled with water flowing from a tap at a rate of 1.4 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 6 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
= 6 x 1.4
= 8.4 ℓ
Volume of water poured into the Tank J from Tank H
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank J
= 57 x 30 x 31
= 53010 mℓ
53010 mℓ = 53010 ÷ 1000 = 53.01 ℓ
Volume of more water to fill Tank J
= 53.01 - 35.937 - 8.4
= 8.673 ℓ
Answer(s): (a) 8.4 ℓ; (b) 8.673 ℓ