Download presentation
Presentation is loading. Please wait.
Published byBrianna Roberts Modified over 9 years ago
1
12-1 Representations of Three-Dimensional Figures
You identified parallel planes and intersecting planes in three dimensional figures. Draw isometric views of three-dimensional figures. Investigate cross sections of three- dimensional figures.
2
Vocabulary Isometric view: corner views of three dimensional objects on two-dimensional paper. Orthographic drawing: a drawing showing the top, left, front, and right views of a solid.
3
Use isometric dot paper to sketch a triangular prism 6 units high, with bases that are right triangles with legs 6 units and 4 units long. Step 1 Mark the corner of the solid, then draw segments 6 units down, 6 units to the left, and 4 units to the right.
4
Step 2 Draw the triangle for the top of the solid.
Step 3 Draw segments 6 units down from each vertex for the vertical edges.
5
Step 4. Connect the corresponding vertices. Use
Step 4 Connect the corresponding vertices. Use dashed lines for the hidden edges. Shade the top of the solid. Answer:
6
Which diagram shows a rectangular prism 2 units high, 5 units long, and 2 units wide?
A. B. C. D.
7
Use an Orthographic Drawing to Sketch a Solid
Use isometric dot paper and the orthographic drawing to sketch a solid. The top view indicates one row of different heights and one column in the front right.
8
The front view indicates that there are four standing columns
The front view indicates that there are four standing columns. The first column to the left is 2 blocks high, the second column is 3 blocks high, the third column is 2 blocks high, and the fourth column to the far right is 1 block high. The dark segments indicate breaks in the surface. The right view indicates that the front right column is only 1 block high. The dark segments indicate a break in the surface. The left view indicates that the back left column is 2 blocks high. Draw the figure so that the lowest columns are in front and connect the dots on the isometric dot paper to represent the edges of the solid. Answer
9
top view left view front view right view Which diagram is the correct corner view of the figure given the orthographic drawing? A. B. C. D.
10
Cross Section A cross section: the intersection of a solid and a plane. The shape of the cross section formed by the intersection of a plane and a three-dimensional figure depends on the angle of the plane.
11
BAKERY A customer ordered a two-layer sheet cake
BAKERY A customer ordered a two-layer sheet cake. Determine the shape of each cross section of the cake below. Answer: If the cake is cut horizontally, the cross section will be a rectangle. If the cake is cut vertically, the cross section will also be a rectangle.
12
12-1 Assignment Page 841, 8-13, 16-20
Similar presentations
© 2024 SlidePlayer.com. Inc.
All rights reserved.