Question

What's the formula for finding the surface area of a prism and the formula for the surface area of a triangular prism??

Answer 1

the surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height.

The formula A=1/2 bh

Answer 2

i) The general formula to find the surface area of a prism = ph + 2B

ii) The area of the triangular prism = ph + 2(
`(1)/(2) bh`)

Explanation:

A prism is a three-dimensional figure. The surface area of a figure is the sum of all the areas of its sides.

For example, rectangular prism has 6 sides, to find the surface of rectangular prism, we need to find the area of each side and add them together to get the surface area.

So, the general formula to find the surface area of a prism = ph + 2B, where "p" is the perimeter of the base, "h" is the height of the prism and B is the area of the base.

Now let's find the area of triangular prism.

In the triangular prism, there are two triangles and three rectangles.

Area of a triangle =
`(1)/(2) bh`

So, the area of the triangular prism = ph + 2(
`(1)/(2) bh`)