Tank S is a cubical container of edge 38 cm. It is completely filled with water. Tank T is a rectangular tank measuring 64 cm by 32 cm by 35 cm. It is filled with water flowing from a tap at a rate of 1.5 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 1.5
= 10.5 ℓ
Volume of water poured into the Tank T from Tank S
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank T
= 64 x 32 x 35
= 71680 mℓ
71680 mℓ = 71680 ÷ 1000 = 71.68 ℓ
Volume of more water to fill Tank T
= 71.68 - 54.872 - 10.5
= 6.308 ℓ
Answer(s): (a) 10.5 ℓ; (b) 6.308 ℓ