Tank S is a cubical container of edge 37 cm. It is completely filled with water. Tank T is a rectangular tank measuring 59 cm by 32 cm by 35 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
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank T
= 59 x 32 x 35
= 66080 mℓ
66080 mℓ = 66080 ÷ 1000 = 66.08 ℓ
Volume of more water to fill Tank T
= 66.08 - 50.653 - 4.4
= 11.027 ℓ
Answer(s): (a) 4.4 ℓ; (b) 11.027 ℓ