A rectangular prism has a base area of 25 in and a volume of 125
in³.
To find the dimensions of the rectangular prism, you can set up the equation:
V = lwh
Where:
V = volume
l = length
w = width
h = height
Given:
V = 125 in³
lw = 25 in²
Plug in the values and solve for the dimensions:
125 = lwh
25 = lw
Solve for height (h):
25 = l * 25/l
25 = l²
l = 5 in
Substitute l into the equation lw = 25 to find width (w):
5w = 25
w = 5 in
Therefore, the dimensions of the rectangular prism are:
Length (l) = 5 inches
Width (w) = 5 inches
Height (h) = 5 inches.