hey i need to understand how to figure out an area of a 3-D prizm. sreached on the web but don't understand it please help

by "area of a 3D prism" , do you mean the surface area of the shape, or did you mean volume ?

Either way, you will have to be much more specific as to the kind of prism you are referring to.

In general, the surface area would be the total of the areas of all the faces.
in general the volume is (the area of the base)x(the height).

There are a number of prism shapes. In all cases the surface area of a prism is the area of the ends plus the area of the sides.

Lets look at a regular triangle prism (i.e. a toblerone shape) with sides a and length l. The ends are equilitaeral triangles so the area is
a^2root3/4
(area of triangle is 0.5xbasexheight, height of equlateral triangle is axroot3/2 so area is a/2 x a x root3/2)

The three sides of the prism are all rectangles, area=al

so the surface area of the prism is

2(a^2root3/4)+3al

But check my maths!

You can do the same for each shape of prism.

Of course! I'll be happy to explain how to calculate the surface area of a 3D prism.

A prism is a solid object with two identical and parallel polygonal bases connected by rectangular faces. To find the surface area of a prism, you need to calculate the area of each face and then add them together.

Here are the steps to find the surface area of a 3D prism:

Step 1: Identify the shape of the base: Determine the polygonal shape of the base (e.g., triangle, rectangle, square, etc.). This helps determine the formula needed to calculate the area of the base.

Step 2: Find the area of the base: Use the formula for the area of the polygon to calculate the area of the base. For example, if the base is a rectangle, the formula is length × width.

Step 3: Calculate the area of the top/base: Multiply the area of the base by 2, since there are two identical bases in a prism.

Step 4: Find the area of the lateral faces: Multiply the perimeter of the base by the height of the prism. This calculates the surface area of all the rectangular faces.

Step 5: Add the areas: Add the area of the top/base (step 3) to the area of the lateral faces (step 4) to find the total surface area of the prism.

It's important to remember that the units for calculating the area should be consistent. For example, if the length of the base is measured in meters, the area will be in square meters.

By following these steps, you should be able to calculate the surface area of any 3D prism. If you have a specific prism in mind, feel free to provide the dimensions, and I can guide you through the calculations!