P R E P A R I N G F O R S U R F A C E A R E A A N D V O L U M E
DRAWINGS, CROSS SECTIONS AND NETS
ISOMETRIC DRAWINGS
A DRAWING THAT LOOKS
3 DIMENSIONAL.
FOUNDATIONAL DRAWING
A DRAWING THAT SHOWS
THE BASE OF THE STRUCTURE
AND THE HEIGHT OF EACH
PART.
ORTHOGRAPHIC PROJECTION
IS A 2D DRAWING OF THE
FRONT, TOP AND SIDE VIEWS
OF 3D OBJECT.
12.1 EXPLORE SOLIDS
• A ________ is a solid that is bounded by
polygons, called _______, that enclose a single
region of space.
• An _______ of a polyhedron is a line segment
formed by the intersection of two faces.
• A _________ of a polyhedron is a point where
three or more edges meet.
Polyhedron
faces
Edge
Vertex
TYPES OF SOLIDS:
CLASSIFYING SOLIDS
• Classifying Solids: Of the five solids on the previous
slide, the prism and pyramid are polyhedra. To name
a prism or pyramid, use the shape of the base.
PLATONIC SOLIDS
CROSS SECTIONS
Cross Section:
2D shape on the surface of the intersection
EXAMPLE 4:
Square Rectangle Trapezoid
NETS
NET: THE TWO-DIMENSIONAL REPRESENTATION OF THE
FACES OF A 3-DIMENSIONAL OBJECT.
Find the surface area using the
net.
Rectangular prism surface area:
2(6)+ 2(18) + 2(12)= 72 square units
Triangular prism surface area:
12 + 9+ 15 + 6+6= 48 square units