# Is 56 height too short to model

## Spatial geometry. Construct and visualize [theory book]

Modeling in CAD 3 Competence Check Check 8 H4 I2 K1 Investigate whether the following statements are correct. a) The red area splits the green area. b) The green area splits the red area. c) The red area splits the blue area. d) The blue area splits the red area. e) The green area splits the yellow area. f) The yellow area splits the green area. g) The red area splits the yellow area. h) The yellow area splits the red area. Check 9 H1 I2 K2 Create construction instructions for this pipe junction. Ask a classmate to construct the object according to your instructions. Check 10 H4 I2 K3 Here you can see a rounded surface between a cylinder surface (part of a rotating cylinder jacket) and a rectangle (normal to the generatrix of the cylinder surface). Explain that the fillet surface is part of a torus surface. Check 7 H4 + 2 I4 K2 Create construction instructions for the given object. The rounding is to be modeled with one or more Boolean operations. Ask a classmate to construct the object according to your instructions. Check 11 H4 I2 K3 The following statements are about offset areas where the distance d is applied to the outside. Investigate whether the following statements are true or false. a) The offset surface of a spherical cap is a congruent spherical cap. b) The offset surface of the jacket of a rotary cylinder with the radius r and the height h is the jacket of a rotary cylinder with the radius r + d and the height h. c) The offset surface of the surface of a truncated rotating cone with the radii R, r and the height h is the surface of a truncated rotating cone with the radii R + d, r + d and the height h. d) The offset surface of the shell of a truncated rotary cone with the height h is the shell of a truncated rotary cone with the same height h. e) The offset surface of a torus surface with the center circle radius R and the meridional circle radius r is a torus surface with the center circle radius R + d and the meridional circle radius r. f) The offset surface of a torus surface with the center circle radius R and the meridional circle radius r is a torus surface with the center circle radius R and the meridional circle radius r + d. + + + 56 For testing purposes only - property of the publisher öbv

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