Tank B is a cubical container of edge 28 cm. It is completely filled with water. Tank C is a rectangular tank measuring 65 cm by 23 cm by 26 cm. It is filled with water flowing from a tap at a rate of 1.6 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 4 minutes. Give your answer in litres.
- All the water in Tank B is then poured into Tank C without spilling. How much more water is needed to fill Tank C completely? Give your answer in litres.
(a)
Volume of water in Tank C filled by the tap
= 4 x 1.6
= 6.4 ℓ
Volume of water poured into the Tank C from Tank B
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank C
= 65 x 23 x 26
= 38870 mℓ
38870 mℓ = 38870 ÷ 1000 = 38.87 ℓ
Volume of more water to fill Tank C
= 38.87 - 21.952 - 6.4
= 10.518 ℓ
Answer(s): (a) 6.4 ℓ; (b) 10.518 ℓ