Tank B is a cubical container of edge 36 cm. It is completely filled with water. Tank C is a rectangular tank measuring 58 cm by 31 cm by 34 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank C after 4 minutes. Give your answer in litres.
- All the water in Tank B is then poured into Tank C without spilling. How much more water is needed to fill Tank C completely? Give your answer in litres.
(a)
Volume of water in Tank C filled by the tap
= 4 x 0.4
= 1.6 ℓ
Volume of water poured into the Tank C from Tank B
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank C
= 58 x 31 x 34
= 61132 mℓ
61132 mℓ = 61132 ÷ 1000 = 61.132 ℓ
Volume of more water to fill Tank C
= 61.132 - 46.656 - 1.6
= 12.876 ℓ
Answer(s): (a) 1.6 ℓ; (b) 12.876 ℓ