Tank W is a cubical container of edge 28 cm. It is completely filled with water. Tank X is a rectangular tank measuring 56 cm by 22 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.8 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 0.8
= 5.6 ℓ
Volume of water poured into the Tank X from Tank W
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank X
= 56 x 22 x 26
= 32032 mℓ
32032 mℓ = 32032 ÷ 1000 = 32.032 ℓ
Volume of more water to fill Tank X
= 32.032 - 21.952 - 5.6
= 4.48 ℓ
Answer(s): (a) 5.6 ℓ; (b) 4.48 ℓ