Given:
rectangular prism
volume of 360 cubic units
height is 10 units
Volume = length * width * height
360 cubic units = lw * 10 units
360 / 10 = lw
36 = lw
The only measure of the sides of a square base is 6 units. 6 is the square root of 36.
To prove that the base of the prism is not a square, its measure should be
length = 9 ; 18 ; 12
width = 4 ; 2 ; 3
V = 9 x 4 x 10 = 360
V = 18 x 2 x 10 = 360
V = 12 x 3 x 10 = 360
