Tank G is a cubical container of edge 34 cm. It is completely filled with water. Tank H is a rectangular tank measuring 61 cm by 29 cm by 30 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank H after 9 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
= 9 x 0.8
= 7.2 ℓ
Volume of water poured into the Tank H from Tank G
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank H
= 61 x 29 x 30
= 53070 mℓ
53070 mℓ = 53070 ÷ 1000 = 53.07 ℓ
Volume of more water to fill Tank H
= 53.07 - 39.304 - 7.2
= 6.566 ℓ
Answer(s): (a) 7.2 ℓ; (b) 6.566 ℓ