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 Edges Face (altitudes) Right Triangular Prism Oblique Triangular Prism
Right Rectangular Prism L. A. (Lateral Area) = Ph 2 =(14)(10) =140 u (perimeter x height) 10 10 3 3 4 =L. A. + 2 B =140 u 2 + 2(12 u 2) =164 u 2 4 2 B (Area of a base) =(3)(4) =lw =12 u = varies 4 T. A. (Total/Surface Area) 3 4 4 3 3 V. (Volume) = Bh =(12)(10) =120 u 3
1. ) Find the Lateral Area, Total Area & Volume for this Right Triangular Prism. LA= TA= 10 6 7 V=
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 cm 3. Then the length of each edge is: The total area of the cube is:
4. ) Given: a right triangular prism having volume of 450 m 3, & 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?