Tank S is a cubical container of edge 28 cm. It is completely filled with water. Tank T is a rectangular tank measuring 50 cm by 24 cm by 26 cm. It is filled with water flowing from a tap at a rate of 1.7 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 5 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
= 5 x 1.7
= 8.5 ℓ
Volume of water poured into the Tank T from Tank S
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank T
= 50 x 24 x 26
= 31200 mℓ
31200 mℓ = 31200 ÷ 1000 = 31.2 ℓ
Volume of more water to fill Tank T
= 31.2 - 21.952 - 8.5
= 0.748 ℓ
Answer(s): (a) 8.5 ℓ; (b) 0.748 ℓ