Tank J is a cubical container of edge 31 cm. It is completely filled with water. Tank K is a rectangular tank measuring 64 cm by 24 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 11 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
= 11 x 0.1
= 1.1 ℓ
Volume of water poured into the Tank K from Tank J
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank K
= 64 x 24 x 26
= 39936 mℓ
39936 mℓ = 39936 ÷ 1000 = 39.936 ℓ
Volume of more water to fill Tank K
= 39.936 - 29.791 - 1.1
= 9.045 ℓ
Answer(s): (a) 1.1 ℓ; (b) 9.045 ℓ