Tank A is a cubical container of edge 24 cm. It is completely filled with water. Tank B is a rectangular tank measuring 52 cm by 21 cm by 22 cm. It is filled with water flowing from a tap at a rate of 1.4 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 6 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
= 6 x 1.4
= 8.4 ℓ
Volume of water poured into the Tank B from Tank A
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank B
= 52 x 21 x 22
= 24024 mℓ
24024 mℓ = 24024 ÷ 1000 = 24.024 ℓ
Volume of more water to fill Tank B
= 24.024 - 13.824 - 8.4
= 1.8 ℓ
Answer(s): (a) 8.4 ℓ; (b) 1.8 ℓ