Tank H is a cubical container of edge 30 cm. It is completely filled with water. Tank J is a rectangular tank measuring 54 cm by 27 cm by 28 cm. It is filled with water flowing from a tap at a rate of 1.9 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 1.9
= 13.3 ℓ
Volume of water poured into the Tank J from Tank H
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank J
= 54 x 27 x 28
= 40824 mℓ
40824 mℓ = 40824 ÷ 1000 = 40.824 ℓ
Volume of more water to fill Tank J
= 40.824 - 27 - 13.3
= 0.524 ℓ
Answer(s): (a) 13.3 ℓ; (b) 0.524 ℓ