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A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. \[0.1\text{ m}\] \[0.8\text{ m}\] \[0.81\text{ m}\] \[1\text{ m}\] How much metal did they use to cover the ramp, including the bottom? Give an exact answer (do not round).

Respuesta :

Answer:

1.79 m^(2)

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to

SA=2B+PL

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

Find the area of the triangular base B

B=(1)/(2)(0.8)(0.1)=0.04\ m^(2)

Find the perimeter of the triangular base P

P=(0.8+0.1+0.81)=1.71\ m

we have

L=1\ m

substitute the values and find the surface area

SA=2(0.04)+(1.71)*(1)=1.79\ m^(2)

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