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A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface area? Round the answer to the nearest tenth.
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A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface area? Round the answer to the nearest tenth.
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Feb 27, 2018
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A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface area? Round the answer to the nearest tenth.
Mathematics
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ZorbaTHut
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Answer:
43.3
Explanation:
Denis Stafichuk
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Mar 2, 2018
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Denis Stafichuk
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The area of an equilateral triangle is (1/2)bh. The base is 5, so using the Pythagorean theorem we get h by:
5² = (5/2)² +h²
h = √18.75
h = 4.33
So the area of one face is (1/2)(5)(4.33) = 10.825m²
The total area is 4(10.825m²) = 43.3m²
Nelle
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Mar 4, 2018
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