If the volume of the square prism is 7600 cubic inches and the length of the prism is 19 inches, what is the side length of the square?

Respuesta :

*Answer:

Height of the prism= 21.05 inches

Step-by-step explanation:

A square prism has both the bases in the shape of a square and having some height.

Volume of a square prism = Length*Width*Height

Volume = [tex]7600inch^3[/tex]

Length=[tex]19inch[/tex]

As the length and width of the base are same in case of a square pyramid,

so   [tex]Length=Width= 19 inch\\\\ Volume = Side*Side*Height\\\\7600=19*19*Height\\\\7600=361*Height\\[/tex]

      Dividing by '361' both sides:

                           [tex]Height=\frac{7600}{361}\\\\ Height=21.05inch[/tex]