Tank W is a cubical container of edge 34 cm. It is completely filled with water. Tank X is a rectangular tank measuring 51 cm by 29 cm by 32 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 9 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
= 9 x 0.2
= 1.8 ℓ
Volume of water poured into the Tank X from Tank W
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank X
= 51 x 29 x 32
= 47328 mℓ
47328 mℓ = 47328 ÷ 1000 = 47.328 ℓ
Volume of more water to fill Tank X
= 47.328 - 39.304 - 1.8
= 6.224 ℓ
Answer(s): (a) 1.8 ℓ; (b) 6.224 ℓ