Question

PLEASE HELP ASAP!!!!!!!!!!

Consider the octagonal prism above. Describe how you would make a cut to create a plane section in the following shapes:
1. Rectangle
2. Octagon
3. Triangle
4. Trapezoid

Answer 1

An image of an octagonal prism with a rectangular plane section

1. Longitudinally, along the center axis

An image of an octagonal prism with an octagonal plane section.

2. Take a cross-section.

An image of an octagonal prism with a triangular plane section.

3. Slice off any one of the corners.

An image of an octagonal prism with a trapezoidal plane section

4. Take an angled section that includes two neighboring corners.

Explanation:

Answer 2

From the figure attached with this answer have octagon ABCDEFGH.

We can make a cut to create a plane section in the following shapes:

1. Rectangle

Here ADEH form a rectangle. To make rectangle we take ADEH

2. Octagon

For getting Octagon just cut ABCDEFGH form octagon

3. Triangle

To get triangle cut opposite diagonals. From the figure we can see AOB,BOC,COD,DOE,EOF,FOG,GOH and HOA are triangles.

4. Trapezoid

To get trapezoid ABCD form trapezoid and EFGH form another trapezoid