Question

Whats the surface area?

Answer 1

Answer:

Total Area = 1070 m^2

Step-by-step 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

$A_r = 15\times 30\\\\A_r = 450$

2. the triangles

since they are the same we just multiply by two

$A_t = \frac{8\times 10}{2}\\\\A_t = \frac{80}{2}\\\\A_t = 40$

so the areas of the two triangles is

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

3. the bottom rectangle

$A_{bot} = 10\times 30\\\\A_{bot} = 300$

4. the back rectangle

$A_{back} = 8\times 30\\\\A_{back} = 240$

now add them together

$A_T=A_r+2A_t+A_{bot}+A_{back}\\\\A_T = 450+80+300+240\\\\A_T = 1070\: m^2$