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

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

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

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.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is