Tank W is a cubical container of edge 25 cm. It is completely filled with water. Tank X is a rectangular tank measuring 57 cm by 22 cm by 23 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 4 minutes. Give your answer in litres.
- All the water in Tank W is then poured into Tank X without spilling. How much more water is needed to fill Tank X completely? Give your answer in litres.
(a)
Volume of water in Tank X filled by the tap
= 4 x 1.5
= 6 ℓ
Volume of water poured into the Tank X from Tank W
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank X
= 57 x 22 x 23
= 28842 mℓ
28842 mℓ = 28842 ÷ 1000 = 28.842 ℓ
Volume of more water to fill Tank X
= 28.842 - 15.625 - 6
= 7.217 ℓ
Answer(s): (a) 6 ℓ; (b) 7.217 ℓ