A prism is a polyhedron with two parallel faces called bases.

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Presentation transcript:

A prism is a polyhedron with two parallel faces called bases. The other faces are always parallelograms. The prism is named by the shape of its base. A polyhedron is simply a three-dimensional solid which consists of a collection of polygons usually joined at their edges. Bases Lateral Face Lateral Edges (altitudes) Right Triangular Prism Oblique Triangular Prism

T.A.(Total/Surface Area) Right Rectangular Prism 12-1 Prisms L.A.(Lateral Area) = Ph (perimeter x height) =(14)(10) =140u2 10 10 3 4 3 4 3 B (Area of a base) =12u2 =lw =(3)(4) = varies 4 4 3 T.A.(Total/Surface Area) 4 4 =L.A. + 2B 3 3 =140u2 + 2(12u2) V.(Volume) = Bh =120u3 =(12)(10) =164u2

1.) Find the Lateral Area, Total Area & Volume for this Right Triangular Prism. LA= TA= V= 6 10 7

2.) Find the Lateral Area, Total Area & Volume for this Right Hexagonal Prism. (Sides are 6 and height is 8) LA= TA= V=

3.) Given: cube with volume of 8 cm3. Then the length of each edge is: The total area of the cube is:

Then the height is: The total area is: 4.) Given: a right triangular prism having volume of 450 m3, & sides of 5, 12, & 13. Then the height is: The total area is:

5.) If the base of a right triangular prism is isosceles right triangle with legs of 3” and a height of 10”, then what is the LA, TA, & V?

Section 12.1 Written Exercises (p. 478-480) #1-33 (odds) Homework: Section 12.1 Written Exercises (p. 478-480) #1-33 (odds)