Tank H is a cubical container of edge 26 cm. It is completely filled with water. Tank J is a rectangular tank measuring 63 cm by 19 cm by 23 cm. It is filled with water flowing from a tap at a rate of 2.2 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 2.2
= 8.8 ℓ
Volume of water poured into the Tank J from Tank H
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank J
= 63 x 19 x 23
= 27531 mℓ
27531 mℓ = 27531 ÷ 1000 = 27.531 ℓ
Volume of more water to fill Tank J
= 27.531 - 17.576 - 8.8
= 1.155 ℓ
Answer(s): (a) 8.8 ℓ; (b) 1.155 ℓ