Tank D is a cubical container of edge 21 cm. It is completely filled with water. Tank E is a rectangular tank measuring 49 cm by 17 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 8 minutes. Give your answer in litres.
- All the water in Tank D is then poured into Tank E without spilling. How much more water is needed to fill Tank E completely? Give your answer in litres.
(a)
Volume of water in Tank E filled by the tap
= 8 x 0.4
= 3.2 ℓ
Volume of water poured into the Tank E from Tank D
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank E
= 49 x 17 x 18
= 14994 mℓ
14994 mℓ = 14994 ÷ 1000 = 14.994 ℓ
Volume of more water to fill Tank E
= 14.994 - 9.261 - 3.2
= 2.533 ℓ
Answer(s): (a) 3.2 ℓ; (b) 2.533 ℓ