Tank S is a cubical container of edge 20 cm. It is completely filled with water. Tank T is a rectangular tank measuring 59 cm by 16 cm by 17 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 7 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
= 7 x 1.1
= 7.7 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
= 59 x 16 x 17
= 16048 mℓ
16048 mℓ = 16048 ÷ 1000 = 16.048 ℓ
Volume of more water to fill Tank T
= 16.048 - 8 - 7.7
= 0.348 ℓ
Answer(s): (a) 7.7 ℓ; (b) 0.348 ℓ