Tank W is a cubical container of edge 35 cm. It is completely filled with water. Tank X is a rectangular tank measuring 50 cm by 29 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.2 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 0.2
= 1.4 ℓ
Volume of water poured into the Tank X from Tank W
= 35 x 35 x 35
= 42875 mℓ
1000 mℓ = 1 ℓ
42875 mℓ = 42875 ÷ 1000 = 42.875 ℓ
Volume of Tank X
= 50 x 29 x 31
= 44950 mℓ
44950 mℓ = 44950 ÷ 1000 = 44.95 ℓ
Volume of more water to fill Tank X
= 44.95 - 42.875 - 1.4
= 0.675 ℓ
Answer(s): (a) 1.4 ℓ; (b) 0.675 ℓ