Tank A is a cubical container of edge 22 cm. It is completely filled with water. Tank B is a rectangular tank measuring 65 cm by 18 cm by 19 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 12 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
= 12 x 0.7
= 8.4 ℓ
Volume of water poured into the Tank B from Tank A
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank B
= 65 x 18 x 19
= 22230 mℓ
22230 mℓ = 22230 ÷ 1000 = 22.23 ℓ
Volume of more water to fill Tank B
= 22.23 - 10.648 - 8.4
= 3.182 ℓ
Answer(s): (a) 8.4 ℓ; (b) 3.182 ℓ