Question

How is the surface area of a prism determined?

a.

perimeter of base x height

c.

sum of all lateral edges

b.

sum of all areas of faces

d.

base area x height

Answer 1

Option B would be correct.

Explanation:

The general formula for the total surface area of a right prism is T. S. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base. There is no easy way to calculate the surface area of an oblique prism in general.

To find the total surface area of a prism, you need to calculate the area of two the polygonal bases i.e. the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Therefore, it would be option B.

Answer 2

Option b. sum of all areas of faces

Explanation:

we know that

The surface area of the prism is equal to the area of its bases plus the area of its four rectangular lateral faces

so

`SA=2B+PH`

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

therefore

sum of all areas of faces