Tank G is a cubical container of edge 32 cm. It is completely filled with water. Tank H is a rectangular tank measuring 52 cm by 27 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.3 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 0.3
= 1.5 ℓ
Volume of water poured into the Tank H from Tank G
= 32 x 32 x 32
= 32768 mℓ
1000 mℓ = 1 ℓ
32768 mℓ = 32768 ÷ 1000 = 32.768 ℓ
Volume of Tank H
= 52 x 27 x 29
= 40716 mℓ
40716 mℓ = 40716 ÷ 1000 = 40.716 ℓ
Volume of more water to fill Tank H
= 40.716 - 32.768 - 1.5
= 6.448 ℓ
Answer(s): (a) 1.5 ℓ; (b) 6.448 ℓ