Aright rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. the diagonal of the base is 13 inches. the area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is _ ? square inches.

Area of cross section is 104

Step-by-step explanation:

Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height  = 8 inches.

The shape of the cross section that is perpendicular to the base and created by slicing  the prism through diagonals of top and bottom is Rectangle.

Length of rectangle = Length of diagonal of base & top = 13 inches

Width of Rectangle = Height of Prism = 8 inches

Area of Cross Sectional Rectangle = Length × Width

                                                          = 13 × 8

                                                          = 104

Therefore, Area of cross section is 104

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.