Question

find the whole surface area of a right prism whose hight is 75cm and whose base is a regular octagon of side 12cm​

Answer 1

Answer:

the whole surface area of a right prism is

A≈8590.59cm²

a Base edge

12

cm

h Height

75

cm

Answer 2

Answer:

Required whole surface area is 8590.59 cm²

Step-by-step explanation:

Given, height of the right prism is 75 cm and whose base is a regular octagon of side 12cm.

We want to find whole surface area.

We know,

Surface area of right prism = 8ah +4*(1+√2)a²

= 8×12×75+4×(1+√2)×12²

=8590.59 cm²

Extra information about regular octagon:

In geometry, an octagon is a polygon with 8 sides and 8 angles. This means that the number of vertices and edges of an octagon is respectively 8. Simply put, an octagon is an 8-sided polygon on a two-dimensional plane, also called an "8-gon." All sides of a regular octagon are of equal length. Each interior angle of a regular octagon is 135°. Therefore, the measure of the exterior angle changes to 180° – 135° = 45°. The sum of the interior angles of an octagon is 135*8 = 1080°. In this article, we will discuss in detail the shape of the octagon, its formulas, properties, and examples.

An octagon is a closed, two-dimensional shape with eight sides, eight vertices, and eight interior angles. If all the sides and interior angles of an octagon are equal in size, it is called a regular octagon; otherwise, it is called an irregular octagon. Other types of octagons, such as convex and concave octagons, are also explained in the following sections. An octagon is a geometric shape on a two-dimensional plane. Like other polygonal shapes we have studied in geometry, such as triangle, square, pentagon, hexagon, rectangle, etc., an octagon is also a polygon.  The thing that sets it apart from other geometric shapes is that it has 8 sides and 8 corners.

If the squares are built on all sides of the octagon, inside or outside, then the midpoints of the segments connecting the centers of the opposite squares form a quadrilateral: an equilateral and a hypotenuse (whose diagonals are of equal length and bisect each other at a point of 90 degrees).

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