Tank D is a cubical container of edge 22 cm. It is completely filled with water. Tank E is a rectangular tank measuring 48 cm by 16 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 9 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
= 9 x 0.2
= 1.8 ℓ
Volume of water poured into the Tank E from Tank D
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank E
= 48 x 16 x 20
= 15360 mℓ
15360 mℓ = 15360 ÷ 1000 = 15.36 ℓ
Volume of more water to fill Tank E
= 15.36 - 10.648 - 1.8
= 2.912 ℓ
Answer(s): (a) 1.8 ℓ; (b) 2.912 ℓ