Question

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Answer 1

Answer:

184m^2

Step-by-step explanation:

Ok first we will look at the triangles.

The formula for triangles is 1/2bh

The base in our triangle is 6, and the height is 4. Also, we have 2 such triangles.

so, we need to plug in our values into our formula, and multiply it by 2, since there are 2 triangles.

2( 1 / 2 ( 6 ) ( 4 ) )

2 ( 12 )

24.

The area of the 2 triangles is 24.

Now, the next part is gonna be hard to explain, but I promise the final answer is right.

lets find the area of the rectangle in the middle. That's easy, 6*10 = 60.

Because the top rectangle would connect to the 5m side of the triangle, then the area of the rectangle would be 10*5 = 50

The same thing applies to the bottom rectangle, so its also 50.

24+50+50+60 = 184

The unit is meters(m)

So, 184 m^2

Answer 2

The surface area of the prism based on the net provided will be 184 square meters.

What is the surface area of a triangular prism?

Let h be the height and b be the base of the triangle.

Let L₁, L₂, and L₃ be the length and W be the width of the rectangle.

Then the surface area of the triangular prism will be

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = h x b + (L₁ + L₂ + L₃) x W

From the figure, the length of the rectangles will be 5 m, 6 m, and 5m,  and the width is 10 m.

From the figure, the height is 4 m and the base is 6 m of the triangle. Then we have

Surface area = 4 x 6 + (6 + 5 + 5) x 10

Surface area = 24 + 16 x 10

Surface area = 24 + 160

Surface area = 184 square m

The surface area of the prism based on the net provided will be 184 square meters.

More about the surface area of a triangular prism link is given below.

brainly.com/question/16765719

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