Tank H is a cubical container of edge 31 cm. It is completely filled with water. Tank J is a rectangular tank measuring 63 cm by 27 cm by 28 cm. It is filled with water flowing from a tap at a rate of 1.8 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 1.8
= 10.8 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
= 63 x 27 x 28
= 47628 mℓ
47628 mℓ = 47628 ÷ 1000 = 47.628 ℓ
Volume of more water to fill Tank J
= 47.628 - 29.791 - 10.8
= 7.037 ℓ
Answer(s): (a) 10.8 ℓ; (b) 7.037 ℓ