Tank H is a cubical container of edge 31 cm. It is completely filled with water. Tank J is a rectangular tank measuring 60 cm by 26 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 5 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
= 5 x 0.4
= 2 ℓ
Volume of water poured into the Tank J from Tank H
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank J
= 60 x 26 x 29
= 45240 mℓ
45240 mℓ = 45240 ÷ 1000 = 45.24 ℓ
Volume of more water to fill Tank J
= 45.24 - 29.791 - 2
= 13.449 ℓ
Answer(s): (a) 2 ℓ; (b) 13.449 ℓ