Tank G is a cubical container of edge 28 cm. It is completely filled with water. Tank H is a rectangular tank measuring 62 cm by 23 cm by 25 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
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank H
= 62 x 23 x 25
= 35650 mℓ
35650 mℓ = 35650 ÷ 1000 = 35.65 ℓ
Volume of more water to fill Tank H
= 35.65 - 21.952 - 2
= 11.698 ℓ
Answer(s): (a) 2 ℓ; (b) 11.698 ℓ