Tank J is a cubical container of edge 28 cm. It is completely filled with water. Tank K is a rectangular tank measuring 49 cm by 22 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 5 minutes. Give your answer in litres.
- All the water in Tank J is then poured into Tank K without spilling. How much more water is needed to fill Tank K completely? Give your answer in litres.
(a)
Volume of water in Tank K filled by the tap
= 5 x 0.7
= 3.5 ℓ
Volume of water poured into the Tank K from Tank J
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank K
= 49 x 22 x 26
= 28028 mℓ
28028 mℓ = 28028 ÷ 1000 = 28.028 ℓ
Volume of more water to fill Tank K
= 28.028 - 21.952 - 3.5
= 2.576 ℓ
Answer(s): (a) 3.5 ℓ; (b) 2.576 ℓ