Tank T is a cubical container of edge 22 cm. It is completely filled with water. Tank U is a rectangular tank measuring 64 cm by 14 cm by 17 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank U after 4 minutes. Give your answer in litres.
- All the water in Tank T is then poured into Tank U without spilling. How much more water is needed to fill Tank U completely? Give your answer in litres.
(a)
Volume of water in Tank U filled by the tap
= 4 x 0.5
= 2 ℓ
Volume of water poured into the Tank U from Tank T
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank U
= 64 x 14 x 17
= 15232 mℓ
15232 mℓ = 15232 ÷ 1000 = 15.232 ℓ
Volume of more water to fill Tank U
= 15.232 - 10.648 - 2
= 2.584 ℓ
Answer(s): (a) 2 ℓ; (b) 2.584 ℓ