Tank H is a cubical container of edge 36 cm. It is completely filled with water. Tank J is a rectangular tank measuring 65 cm by 31 cm by 34 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank J after 4 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
= 4 x 1.3
= 5.2 ℓ
Volume of water poured into the Tank J from Tank H
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank J
= 65 x 31 x 34
= 68510 mℓ
68510 mℓ = 68510 ÷ 1000 = 68.51 ℓ
Volume of more water to fill Tank J
= 68.51 - 46.656 - 5.2
= 16.654 ℓ
Answer(s): (a) 5.2 ℓ; (b) 16.654 ℓ