Tank G is a cubical container of edge 23 cm. It is completely filled with water. Tank H is a rectangular tank measuring 65 cm by 19 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank H after 12 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
= 12 x 0.5
= 6 ℓ
Volume of water poured into the Tank H from Tank G
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank H
= 65 x 19 x 20
= 24700 mℓ
24700 mℓ = 24700 ÷ 1000 = 24.7 ℓ
Volume of more water to fill Tank H
= 24.7 - 12.167 - 6
= 6.533 ℓ
Answer(s): (a) 6 ℓ; (b) 6.533 ℓ