Step-by-step explanation:
Dimensions of the right rectangular prism :
Length of the right rectangular prism = l = 8 ft
Width of the right rectangular prism = b = 2 ft
Height of the right rectangular prism = h = 6 ft
The dimensions of the prism are doubled and dimensions of enlarged prism are:
Length of the larger right rectangular prism = L = 16 ft
Width of the larger right rectangular prism = B = 4 ft
Height of the larger right rectangular prism = H = 12 ft
The scale factor from the smaller rectangular prism to the larger rectangular prism :
Scale factor =
Scale factor =
0.5 is the scale factor from the smaller rectangular prism to the larger rectangular prism.
The volume of the smaller rectangular prism :
Area of the base of prism =
V = Area of rectangle × Height :
The volume of the enlarged rectangular prism :
Area of the base of enlarged prism =
V' = Area of rectangle × Height :