A rectangular tank measuring 46 cm by 30 cm by 14 cm is completely filled with cooking wine. Cooking Wine from the tank is poured into an empty cubical container of edge 12 cm until the cubical container is half-filled. What is the height of the cooking wine in the tank after some cooking wine is poured out? Correct your answer to 1 decimal place.
Volume of the tank
= 30 x 46 x 14
= 19320 cm³ 

Volume of half of the cubical container
= 12 x 12 x 12 x ¹₂
= 864 cm³ 

Volume of cooking wine left in the tank
= 19320 - 864
= 18456 cm³ 

Base area of the tank
= 46 x 30
= 1380 cm² 

Height of cooking wine left in the tank
= 18456 ÷ 1380
≈ 13.4 cm

Answer(s): 13.4 cm