Tank S is a cubical container of edge 34 cm. It is completely filled with water. Tank T is a rectangular tank measuring 63 cm by 30 cm by 31 cm. It is filled with water flowing from a tap at a rate of 1.7 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 11 minutes. Give your answer in litres.
- All the water in Tank S is then poured into Tank T without spilling. How much more water is needed to fill Tank T completely? Give your answer in litres.
(a)
Volume of water in Tank T filled by the tap
= 11 x 1.7
= 18.7 ℓ
Volume of water poured into the Tank T from Tank S
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank T
= 63 x 30 x 31
= 58590 mℓ
58590 mℓ = 58590 ÷ 1000 = 58.59 ℓ
Volume of more water to fill Tank T
= 58.59 - 39.304 - 18.7
= 0.586 ℓ
Answer(s): (a) 18.7 ℓ; (b) 0.586 ℓ