Tank H is a cubical container of edge 40 cm. It is completely filled with water. Tank J is a rectangular tank measuring 62 cm by 35 cm by 38 cm. It is filled with water flowing from a tap at a rate of 2.8 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 2.8
= 16.8 ℓ
Volume of water poured into the Tank J from Tank H
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank J
= 62 x 35 x 38
= 82460 mℓ
82460 mℓ = 82460 ÷ 1000 = 82.46 ℓ
Volume of more water to fill Tank J
= 82.46 - 64 - 16.8
= 1.66 ℓ
Answer(s): (a) 16.8 ℓ; (b) 1.66 ℓ