Micha constructs a rectangular prism with a volume of 360 cubic units. the height os the prism is 10 unita. micah claims that the base of the prism must be a square. draw a base that shows micahs claim is incorrect

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

Step-by-step explanation: