Tank G is a cubical container of edge 39 cm. It is completely filled with water. Tank H is a rectangular tank measuring 52 cm by 34 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank H after 6 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
= 6 x 0.2
= 1.2 ℓ
Volume of water poured into the Tank H from Tank G
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank H
= 52 x 34 x 36
= 63648 mℓ
63648 mℓ = 63648 ÷ 1000 = 63.648 ℓ
Volume of more water to fill Tank H
= 63.648 - 59.319 - 1.2
= 3.129 ℓ
Answer(s): (a) 1.2 ℓ; (b) 3.129 ℓ