Tank R is a cubical container of edge 36 cm. It is completely filled with water. Tank S is a rectangular tank measuring 64 cm by 28 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 5 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
= 5 x 0.1
= 0.5 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
= 64 x 28 x 31
= 55552 mℓ
55552 mℓ = 55552 ÷ 1000 = 55.552 ℓ
Volume of more water to fill Tank S
= 55.552 - 46.656 - 0.5
= 8.396 ℓ
Answer(s): (a) 0.5 ℓ; (b) 8.396 ℓ