Tank H is a cubical container of edge 22 cm. It is completely filled with water. Tank J is a rectangular tank measuring 65 cm by 19 cm by 20 cm. It is filled with water flowing from a tap at a rate of 1.4 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 4 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
= 4 x 1.4
= 5.6 ℓ
Volume of water poured into the Tank J from Tank H
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank J
= 65 x 19 x 20
= 24700 mℓ
24700 mℓ = 24700 ÷ 1000 = 24.7 ℓ
Volume of more water to fill Tank J
= 24.7 - 10.648 - 5.6
= 8.452 ℓ
Answer(s): (a) 5.6 ℓ; (b) 8.452 ℓ