Tank H is a cubical container of edge 29 cm. It is completely filled with water. Tank J is a rectangular tank measuring 51 cm by 23 cm by 27 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 12 minutes. Give your answer in litres.
- All the water in Tank H is then poured into Tank J without spilling. How much more water is needed to fill Tank J completely? Give your answer in litres.
(a)
Volume of water in Tank J filled by the tap
= 12 x 0.5
= 6 ℓ
Volume of water poured into the Tank J from Tank H
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank J
= 51 x 23 x 27
= 31671 mℓ
31671 mℓ = 31671 ÷ 1000 = 31.671 ℓ
Volume of more water to fill Tank J
= 31.671 - 24.389 - 6
= 1.282 ℓ
Answer(s): (a) 6 ℓ; (b) 1.282 ℓ