What is the covered surface area of a tetrahedral kite wing with a surface area of 18 cm2?
Answers
Explanation:
A tetrahedron is a three-dimensional figure where each side is an equilateral triangle. Therefore, each angle in the triangle is 60∘.
In the figure, we know the value of the side (2m) and the value of the base (1m). Since dividing the triangle by half creates a 30∘−60∘−90∘ triangle, we know the value of h must be 3–√m.
Therefore, the area of one side of the tetrahedron is:
A=(b)(h)=(1m)(3–√m)=3–√m2
Since there are four sides of a tetrahedron, the surface area is:
SA=4(b)(h)=43–√m2
Answer:
A tetrahedron is a three-dimensonal figure where each side is an equilateral triangle. Therefore, each angle in the triangle is 60∘.
In the figure, we know the value of the side (2m) and the value of the base (1m). Since dividing the triangle by half creates a 30∘−60∘−90∘ triangle, we know the value of h must be 3–√m.
Therefore, the area of one side of the tetrahedron is:
A=(b)(h)=(1m)(3–√m)=3–√m2
Since there are four sides of a tetrahedron, the surface area is:
SA=4(b)(h)=43–√m2