Question

Please help! Question is attached to the image :)

Answer 1

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 $20-12=$ 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 $= (l)(w)(h).$

The volume of the smaller room $= (8)(12)(8)= 768.$

So the volume of the smaller room is 768 cubic feet which is option B.