Tank D is a cubical container of edge 26 cm. It is completely filled with water. Tank E is a rectangular tank measuring 57 cm by 20 cm by 22 cm. It is filled with water flowing from a tap at a rate of 1.1 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 1.1
= 5.5 ℓ
Volume of water poured into the Tank E from Tank D
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank E
= 57 x 20 x 22
= 25080 mℓ
25080 mℓ = 25080 ÷ 1000 = 25.08 ℓ
Volume of more water to fill Tank E
= 25.08 - 17.576 - 5.5
= 2.004 ℓ
Answer(s): (a) 5.5 ℓ; (b) 2.004 ℓ