Tank B is a cubical container of edge 34 cm. It is completely filled with water. Tank C is a rectangular tank measuring 50 cm by 30 cm by 32 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 10 minutes. Give your answer in litres.
- All the water in Tank B is then poured into Tank C without spilling. How much more water is needed to fill Tank C completely? Give your answer in litres.
(a)
Volume of water in Tank C filled by the tap
= 10 x 0.1
= 1 ℓ
Volume of water poured into the Tank C from Tank B
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank C
= 50 x 30 x 32
= 48000 mℓ
48000 mℓ = 48000 ÷ 1000 = 48 ℓ
Volume of more water to fill Tank C
= 48 - 39.304 - 1
= 7.696 ℓ
Answer(s): (a) 1 ℓ; (b) 7.696 ℓ