A prism is comply filled with 3996 cubes that have edge lengths of 1/3 inches. What is the volume of the prism

Respuesta :

The volume of a cube by definition is:
 V = L ^ 3
 Where:
 L: side.
 We have then that the volume of a cube is:
 V = (1/3) ^ 3
 V = 1/27
 Then, the prism volume is:
 Vtotal = 3996 * V
 Vtotal = 3996 * (1/27)
 Vtotal 148 inches ^ 3
 Answer:
 the volume of the prism is:
 Vtotal 148 inches ^ 3