Tank W is a cubical container of edge 36 cm. It is completely filled with water. Tank X is a rectangular tank measuring 54 cm by 31 cm by 34 cm. It is filled with water flowing from a tap at a rate of 1.7 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 6 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
= 6 x 1.7
= 10.2 ℓ
Volume of water poured into the Tank X from Tank W
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank X
= 54 x 31 x 34
= 56916 mℓ
56916 mℓ = 56916 ÷ 1000 = 56.916 ℓ
Volume of more water to fill Tank X
= 56.916 - 46.656 - 10.2
= 0.059999999999999 ℓ
Answer(s): (a) 10.2 ℓ; (b) 0.059999999999999 ℓ