The volume of the smaller room is B. 768 cubic feet.
Step-by-step explanation:
Step 1:
The entire length for both rooms is 20 feet. As the large room has a length of 12 feet, the length of the smaller room is [tex]20-12=[/tex] 18 feet long.
The width of the prism is 12 feet and a height of 8 feet.
The volume of a rectangular prism is determined by multiplying its length, its width, and its height.
The small room's length = 8 feet,
The small room's width = 12 feet, and
The small room's height = 8 feet.
Step 2:
The volume of a rectangular prism [tex]= (l)(w)(h).[/tex]
The volume of the smaller room [tex]= (8)(12)(8)= 768.[/tex]
So the volume of the smaller room is 768 cubic feet which is option B.
