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11111nata11111 [884]
3 years ago
8

Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

860.55 mm²

Step-by-step explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

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Kazeer [188]

Multiply 4.93m by 8.5m to get 41.905m to the second power.

You do this because there are 2 identical triangles on the top. And if you put those two triangles together, you get a rectangle. The length of the rectangle is 8.5m while the width would be 4.93. Multiplying the length and width gives you the area.

Then multiply 10.2m by 8.5m to get 86.7m to the second power.

You do this because there are 2 identical triangles on the bottom. And if you put those two triangles together, you get another rectangle. The length of the rectangle is 8.5m while the width would be 10.2m. Multiplying those together gives you the area.

You then add the two areas, 41.905m to the second power and 86.7m to the second power, to get the area of the entire figure.

After adding, you get 128.605 m to the second power. That's the answer

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3 years ago
Answer this plz!!!!!!!!!!
belka [17]

That's a trapezoid,

A = \frac 1 2 (b+B)h

A = \frac 1 2 (4+12) 4 = 32

Answer: 32

But say we didn't know the formula. We can chop out the 4 by 4 square and we have two 45/45/90 triangles side 4 left over, so two 4 by 4 squares,

A = 2(4)(4) = 32

We can think of this as 12 by 4 rectangle with two 4 by 4 right triangles chopped out:

A = 12(4) - 2(1/2)(4)(4) = 48 - 16 = 32


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