The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long. The distance r from one
corner to the center of the base is 11.5m. What is the vertical height, h , of the tetrahedron
2 answers:
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
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<u>Given</u>:
Given that the sides of the shape.
The given shape consists of 8 sides.
We need to determine the perimeter of the given shape.
<u>Perimeter</u>:
The perimeter of the figure can be determined by adding all the lengths of the sides of the shape.
Thus, we have;
Adding the values, we get;
Thus, the perimeter of the given shape is 36 feet.