Tank R is a cubical container of edge 36 cm. It is completely filled with water. Tank S is a rectangular tank measuring 63 cm by 29 cm by 32 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 4 minutes. Give your answer in litres.
- All the water in Tank R is then poured into Tank S without spilling. How much more water is needed to fill Tank S completely? Give your answer in litres.
(a)
Volume of water in Tank S filled by the tap
= 4 x 0.2
= 0.8 ℓ
Volume of water poured into the Tank S from Tank R
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank S
= 63 x 29 x 32
= 58464 mℓ
58464 mℓ = 58464 ÷ 1000 = 58.464 ℓ
Volume of more water to fill Tank S
= 58.464 - 46.656 - 0.8
= 11.008 ℓ
Answer(s): (a) 0.8 ℓ; (b) 11.008 ℓ