What you see here is a truncated cubes with edges of cm. The points and are the centers of the edges they are located on. cm.
Calculate the lengths of the edges of .
Make a life sized drawing of and calculate the angles of this triangle.
The diagonal plane is a pentagon. make a life sized drawing of this diagonal plane of the truncated cube and calculate its angles.
Given is a regular pyramid with the square as the base. The edges of are cm and the height of the pyramid is cm. is the intersection point of and .
Calculate height of this pyramid.
Explain why quadrangle is an isosceles trapezium and calculate the lengths of the edges of this quadrangle.
Draw life sized and calculate all angles of this trapezium.
Below you see two figures.
Calculate the length of the line segments with a question mark.
Here you see a so called hipped roof, a roof with a rectangular base with the roof-ridge situated exactly over the middle of the base. The roof itself consists of twee equilateral triangles and two symmetric trapeziums.
Calculate the length of the edges , , and .
Calculate the size of and .
At m above the attic floor a rectangular loft is made. Calculate the area of the floor of this loft.
Beside you see a photo of the building "Willemswerf" in Rotterdam and below you see a view from above of a very simplified version of the building. This strongly simplified version has a height of m. The bend in the building starts m above the ground.
Calculate the lengths of the edges of that trapezium.
Calculate the size of the angles of that trapezium.
Marianne is in New York for a couple of days. She takes a picture of a tree. She stands at a distance of m of the tree. In the picture the tree is cm high. The distance from the lens to the negative in the camera is cm.
Calculate the height of the tree precisely.
After development the picture also contains the Statue of Liberty. Coincidentally the Statue of Liberty happens to be exactly the same size as the tree. The statue is m high. How far was Marianne from the Statue of Liberty?
What you see here is a cube that has been truncated at the front . . The dimensions are in the figure.
Calculate the length of .