Tank G is a cubical container of edge 20 cm. It is completely filled with water. Tank H is a rectangular tank measuring 48 cm by 17 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank H after 10 minutes. Give your answer in litres.
- All the water in Tank G is then poured into Tank H without spilling. How much more water is needed to fill Tank H completely? Give your answer in litres.
(a)
Volume of water in Tank H filled by the tap
= 10 x 0.2
= 2 ℓ
Volume of water poured into the Tank H from Tank G
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank H
= 48 x 17 x 18
= 14688 mℓ
14688 mℓ = 14688 ÷ 1000 = 14.688 ℓ
Volume of more water to fill Tank H
= 14.688 - 8 - 2
= 4.688 ℓ
Answer(s): (a) 2 ℓ; (b) 4.688 ℓ