Tank S is a cubical container of edge 25 cm. It is completely filled with water. Tank T is a rectangular tank measuring 50 cm by 21 cm by 23 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 4 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
= 4 x 1.1
= 4.4 ℓ
Volume of water poured into the Tank T from Tank S
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank T
= 50 x 21 x 23
= 24150 mℓ
24150 mℓ = 24150 ÷ 1000 = 24.15 ℓ
Volume of more water to fill Tank T
= 24.15 - 15.625 - 4.4
= 4.125 ℓ
Answer(s): (a) 4.4 ℓ; (b) 4.125 ℓ