Tank S is a cubical container of edge 20 cm. It is completely filled with water. Tank T is a rectangular tank measuring 64 cm by 12 cm by 15 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 6 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
= 6 x 0.2
= 1.2 ℓ
Volume of water poured into the Tank T from Tank S
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank T
= 64 x 12 x 15
= 11520 mℓ
11520 mℓ = 11520 ÷ 1000 = 11.52 ℓ
Volume of more water to fill Tank T
= 11.52 - 8 - 1.2
= 2.32 ℓ
Answer(s): (a) 1.2 ℓ; (b) 2.32 ℓ