Respuesta :

wegnerkolmp2741o

Answer:

613.5 m^2

Step-by-step explanation:

The area of the base is

A = 1/2 bh

   = 1/2 (10) (8.7) =43.5 m^2

We have three sides with all the same area

The area of one side is 10 * 16 = 160

3 * 160 = 480 m^2

Now to the top

We have 3 sides with the same area

The area of one side

A = 1/2 bh

A = 1/2 (10) (6)

   = 30 m^2

3* 30 = 90

Add all the areas together to get the total surface area

43.5 m^2+ 480 m^2 + 90 m^2

613.5 m^2

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Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

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