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The right rectangular prism below is made up of 8 cubes each cube has an edge length of 1/2 inch what is the volume of this prism

Respuesta :

Answer:

1 cubic inches

Step-by-step explanation:

No of cubes = 8

Edge length of each cube = 1/2 inch

Volume of cube is given [tex]edge ^3[/tex] where edge is the edge length

Thus volume of cube with Edge length  is calculated as explained below

 [tex]edge ^3\\=> (1/2)^3 = 1/2 * 1/2 * 1/2\\=> 1/8 cubic \ inches[/tex]

Question states that there are 8 such cubes joined to make a right rectangular prism. Thus volume of right rectangular prism will be sum of volume of 8  such cubes.

volume of right rectangular prism = 8 times the volume of  1/2 inched cubes

                          = 8* 1/8 = 1 cubic  inches

Thus volume of right rectangular prism is 1 cubic inches.