3.2a: Surface Area of Prisms and Cylinders p. 591-598 Primary M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three Secondary M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios (sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem)
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3.2a: Surface Area of Prisms and Cylinders p. 591-598 Primary M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional.
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3.2a: Surface Area of Prisms and Cylinders
p. 591-598
Primary
M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three
SecondaryM(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios (sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem)
3-D figures- Solid figures. When the sides are polygons, its called a polyhedron.
Prism: a 3-D solid with 1) 2 bases – which are parallel and congruent 2) lateral faces that are parallelograms
Base
Base (parallel & Congruent)
Altitude (height)- Distance between the bases
Lateral Face – parallel sides not the base
Lateral Edge
* names by the shape of their bases
Areas of the Solids
Lateral Area (LA) – the sum of the areas of the lateral faces only.
– Does not include the area of the bases.
Surface Area (SA) – the sum of the areas of ALL the faces.
– Lateral area + area of the bases
Lateral Area of a Right Prism
PhLAP = Perimeter of the base
h= height between the bases (altitude)
Surface Area of a Right Prism
BPhSA 2B = Area of one Base
Ex: Find the lateral & surface areas of the triangular prism.