Tank R is a cubical container of edge 34 cm. It is completely filled with water. Tank S is a rectangular tank measuring 62 cm by 26 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 8 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
= 8 x 0.4
= 3.2 ℓ
Volume of water poured into the Tank S from Tank R
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank S
= 62 x 26 x 29
= 46748 mℓ
46748 mℓ = 46748 ÷ 1000 = 46.748 ℓ
Volume of more water to fill Tank S
= 46.748 - 39.304 - 3.2
= 4.244 ℓ
Answer(s): (a) 3.2 ℓ; (b) 4.244 ℓ