Tank G is a cubical container of edge 20 cm. It is completely filled with water. Tank H is a rectangular tank measuring 63 cm by 16 cm by 17 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank H after 5 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
= 5 x 1.5
= 7.5 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
= 63 x 16 x 17
= 17136 mℓ
17136 mℓ = 17136 ÷ 1000 = 17.136 ℓ
Volume of more water to fill Tank H
= 17.136 - 8 - 7.5
= 1.636 ℓ
Answer(s): (a) 7.5 ℓ; (b) 1.636 ℓ