A rectangle prism has length of 20 inches, a width of 2 inches and height of 3 1/4 inches. The prism is filled with cubes that have edge lengths of 1/4 inches. How many cubes are needed to fill the rectangle?
The first thing we must do is find the volume of the rectangular prism which will be given by: Vtotal = (20) * (2) * (3 1/4) Votal = 130 in ^ 3 We now look for the volume of each individual cube: Vcube = (1/4) ^ 3 Vcube = 1/64 in ^ 3 The number of cubes will be: N = (Vtotal) / (Vcube) N = (130) / (1/64) N = 8320 Answer: to fill the rectangle are needed 8320 cubes
