Tank W is a cubical container of edge 28 cm. It is completely filled with water. Tank X is a rectangular tank measuring 51 cm by 23 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 10 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
= 10 x 0.6
= 6 ℓ
Volume of water poured into the Tank X from Tank W
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank X
= 51 x 23 x 25
= 29325 mℓ
29325 mℓ = 29325 ÷ 1000 = 29.325 ℓ
Volume of more water to fill Tank X
= 29.325 - 21.952 - 6
= 1.373 ℓ
Answer(s): (a) 6 ℓ; (b) 1.373 ℓ