Tank W is a cubical container of edge 31 cm. It is completely filled with water. Tank X is a rectangular tank measuring 60 cm by 24 cm by 27 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 7 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
= 7 x 0.3
= 2.1 ℓ
Volume of water poured into the Tank X from Tank W
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank X
= 60 x 24 x 27
= 38880 mℓ
38880 mℓ = 38880 ÷ 1000 = 38.88 ℓ
Volume of more water to fill Tank X
= 38.88 - 29.791 - 2.1
= 6.989 ℓ
Answer(s): (a) 2.1 ℓ; (b) 6.989 ℓ