Tank W is a cubical container of edge 22 cm. It is completely filled with water. Tank X is a rectangular tank measuring 52 cm by 17 cm by 19 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 8 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
= 8 x 0.6
= 4.8 ℓ
Volume of water poured into the Tank X from Tank W
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank X
= 52 x 17 x 19
= 16796 mℓ
16796 mℓ = 16796 ÷ 1000 = 16.796 ℓ
Volume of more water to fill Tank X
= 16.796 - 10.648 - 4.8
= 1.348 ℓ
Answer(s): (a) 4.8 ℓ; (b) 1.348 ℓ