Tank A is a cubical container of edge 21 cm. It is completely filled with water. Tank B is a rectangular tank measuring 58 cm by 16 cm by 19 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 7 minutes. Give your answer in litres.
- All the water in Tank A is then poured into Tank B without spilling. How much more water is needed to fill Tank B completely? Give your answer in litres.
(a)
Volume of water in Tank B filled by the tap
= 7 x 0.5
= 3.5 ℓ
Volume of water poured into the Tank B from Tank A
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank B
= 58 x 16 x 19
= 17632 mℓ
17632 mℓ = 17632 ÷ 1000 = 17.632 ℓ
Volume of more water to fill Tank B
= 17.632 - 9.261 - 3.5
= 4.871 ℓ
Answer(s): (a) 3.5 ℓ; (b) 4.871 ℓ