Tank D is a cubical container of edge 29 cm. It is completely filled with water. Tank E is a rectangular tank measuring 61 cm by 25 cm by 27 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 5 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
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank E from Tank D
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank E
= 61 x 25 x 27
= 41175 mℓ
41175 mℓ = 41175 ÷ 1000 = 41.175 ℓ
Volume of more water to fill Tank E
= 41.175 - 24.389 - 1
= 15.786 ℓ
Answer(s): (a) 1 ℓ; (b) 15.786 ℓ