Question

Whats the surface area?

Answer 1

Total Area = 1070 m^2

Explanation:

we have 4 different surfaces

1. the "ramp"
2. the triangles (2) one for each side
3. the bottom rectangle
4. the back rectangle

1. the ramp

`A_r = 15* 30\\\\A_r = 450`

2. the triangles

since they are the same we just multiply by two

`A_t = (8* 10)/(2)\\\\A_t = (80)/(2)\\\\A_t = 40`

so the areas of the two triangles is

`2A_t = 2(40)\\\\2A_t = 80`

3. the bottom rectangle

`A_(bot) = 10* 30\\\\A_(bot) = 300`

4. the back rectangle

`A_(back) = 8* 30\\\\A_(back) = 240`

now add them together

`A_T=A_r+2A_t+A_(bot)+A_(back)\\\\A_T = 450+80+300+240\\\\A_T = 1070\: m^2`