Tank S is a cubical container of edge 35 cm. It is completely filled with water. Tank T is a rectangular tank measuring 56 cm by 32 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 9 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
= 9 x 0.8
= 7.2 ℓ
Volume of water poured into the Tank T from Tank S
= 35 x 35 x 35
= 42875 mℓ
1000 mℓ = 1 ℓ
42875 mℓ = 42875 ÷ 1000 = 42.875 ℓ
Volume of Tank T
= 56 x 32 x 33
= 59136 mℓ
59136 mℓ = 59136 ÷ 1000 = 59.136 ℓ
Volume of more water to fill Tank T
= 59.136 - 42.875 - 7.2
= 9.061 ℓ
Answer(s): (a) 7.2 ℓ; (b) 9.061 ℓ