Question

A composite figure is made up of a triangular prism on top of a rectangular prism. Which of the following surface area equations could you use to find the total surface area of the solid?

Select all that apply.

SA = 2 rh + 2 r 2
SA = 2B + Ph
SA = 4 r 2
SA = 2l + l 2
SA = 2lw + 2lh + 2wh
SA = r + r 2

Answer 1

`SA=2B+Ph`

`SA=2LW+2LH+2WH`

Explanation:

we know that

The surface area of a prism is given by the formula

`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

If we have a rectangular prism

then

The formula of surface area is equal to

`SA=2LW+2LH+2WH`

where

L is the length of the base of prism

W is the width of the base of prism

H is the height of the prism

In this problem the surface area of the composite figure is equal to the area of the base of the rectangular prism plus the lateral area of the rectangular prism, plus the area of the two triangular faces of triangular prism, plus the area of two rectangular faces of the triangular prism.