Tank S is a cubical container of edge 23 cm. It is completely filled with water. Tank T is a rectangular tank measuring 52 cm by 15 cm by 19 cm. It is filled with water flowing from a tap at a rate of 0.3 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 0.3
= 1.2 ℓ
Volume of water poured into the Tank T from Tank S
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank T
= 52 x 15 x 19
= 14820 mℓ
14820 mℓ = 14820 ÷ 1000 = 14.82 ℓ
Volume of more water to fill Tank T
= 14.82 - 12.167 - 1.2
= 1.453 ℓ
Answer(s): (a) 1.2 ℓ; (b) 1.453 ℓ