Lily built a rectangular prism with cubes. The area of the base is 16 connecting cubes. It is 6 layers high what is the volume of his rectangular prism?

Respuesta :

Answer:

Volume of prism is equal to [tex]96[/tex] units

Step-by-step explanation:

let the side of the cube be of one unit.

Then, the area of the base is equal to [tex]16[/tex] connecting cubes

Assuming a square base of the rectangular prism.

Length of one side of the base of rectangular prism [tex]= 4[/tex] units

Similarly, width of the base of rectangular prism [tex]= 4[/tex] units

The height of the rectangular prism is [tex]6[/tex] units

Volume of the prim [tex]=[/tex] Length [tex]*[/tex] Width  [tex]*[/tex] Height

Substituting the given values in above equation, we get -

[tex]V = 4* 4* 6\\V = 96[/tex]

Volume of prism is equal to [tex]96[/tex] units

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