Tank H is a cubical container of edge 37 cm. It is completely filled with water. Tank J is a rectangular tank measuring 65 cm by 31 cm by 35 cm. It is filled with water flowing from a tap at a rate of 1.8 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 8 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
= 8 x 1.8
= 14.4 ℓ
Volume of water poured into the Tank J from Tank H
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank J
= 65 x 31 x 35
= 70525 mℓ
70525 mℓ = 70525 ÷ 1000 = 70.525 ℓ
Volume of more water to fill Tank J
= 70.525 - 50.653 - 14.4
= 5.472 ℓ
Answer(s): (a) 14.4 ℓ; (b) 5.472 ℓ