Tank T is a cubical container of edge 34 cm. It is completely filled with water. Tank U is a rectangular tank measuring 65 cm by 29 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank U after 11 minutes. Give your answer in litres.
- All the water in Tank T is then poured into Tank U without spilling. How much more water is needed to fill Tank U completely? Give your answer in litres.
(a)
Volume of water in Tank U filled by the tap
= 11 x 0.4
= 4.4 ℓ
Volume of water poured into the Tank U from Tank T
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank U
= 65 x 29 x 31
= 58435 mℓ
58435 mℓ = 58435 ÷ 1000 = 58.435 ℓ
Volume of more water to fill Tank U
= 58.435 - 39.304 - 4.4
= 14.731 ℓ
Answer(s): (a) 4.4 ℓ; (b) 14.731 ℓ