Tank H is a cubical container of edge 20 cm. It is completely filled with water. Tank J is a rectangular tank measuring 58 cm by 14 cm by 17 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 7 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
= 7 x 0.5
= 3.5 ℓ
Volume of water poured into the Tank J from Tank H
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank J
= 58 x 14 x 17
= 13804 mℓ
13804 mℓ = 13804 ÷ 1000 = 13.804 ℓ
Volume of more water to fill Tank J
= 13.804 - 8 - 3.5
= 2.304 ℓ
Answer(s): (a) 3.5 ℓ; (b) 2.304 ℓ