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Match each cross section with its perimeter. a cross section parallel to the base of a right rectangular prism that is 10 inches long, 3 inches wide, and 14 inches high a cross section perpendicular to the base of a cube with 12-inch edges a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 5 inches long, 12 inches wide, and 4 inches high and measures 13 inches along the diagonal of the base a cross section parallel to the base of a cube whose edges are 16 inches each Perimeter Cross Section 64 inches arrowBoth

Sagot :

the required perimeters are 26 inch, 48 inch, 34 inch and 64 inch respectively.

What is the perimeter?

Perimeter, is the measure of the figure on its circumference.

1. perimeter for a cross section parallel  to base of right rectangular prisms that is 10 inches long, 3 inches wide and 14 inches high:
length = 10 inches and width = 3 inch
The perimeter of that cross section is given by.
= 2 x length + 2 x width
=  2 x 10 + 2 x 3
= 20 + 6
= 26 inches

2.  perimeter of cross section  perpendicular to the base of a cube with 12 inch edge is given by.
= 4 x length
= 4 x 12
= 48 inches

3. perimeter of a cross section perpendicular to the base and passing through the diagonal of the base the right rectangle is given by.
length = 5; width = 12; height = 4; diagonal = 13;
perimeter = 2 x height + 2 x diagonal
                 = 2 x 4 + 2 x 13
                 =  34  inches

4. perimeter of a cross section of a cube having edges of 16 inches each.
   perimeter = 4 x edge
                    =  4 x 16

                    =  64

Thus, The required perimeter of the cross section are 26, 48, 34, 64 all in inches.

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