Tank W is a cubical container of edge 32 cm. It is completely filled with water. Tank X is a rectangular tank measuring 58 cm by 23 cm by 27 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank X after 4 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
= 4 x 0.6
= 2.4 ℓ
Volume of water poured into the Tank X from Tank W
= 32 x 32 x 32
= 32768 mℓ
1000 mℓ = 1 ℓ
32768 mℓ = 32768 ÷ 1000 = 32.768 ℓ
Volume of Tank X
= 58 x 23 x 27
= 36018 mℓ
36018 mℓ = 36018 ÷ 1000 = 36.018 ℓ
Volume of more water to fill Tank X
= 36.018 - 32.768 - 2.4
= 0.85 ℓ
Answer(s): (a) 2.4 ℓ; (b) 0.85 ℓ