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g1006

g1006

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  • 1. Geometry Item 10-06 A pyramid has a base with an area of 49 cm 2 and a height of 12 cm. Find the volume of the pyramid. A. 588 cm 3    B. 196 cm 3   C. 294 cm 3 D. 84 cm 3 www.upcatreview.com
  • 2. Geometry Item 10-06 A pyramid is a polyhedron in which all the faces but one have a vertex in common. The common vertex is called the vertex of the pyramid, and the face that does not contain the vertex is called the base of the pyramid. www.upcatreview.com
  • 3. Geometry Item 10-06 The remaining faces are called lateral faces and are always triangles. The segment from the vertex of the pyramid perpendicular to the base is called the altitude of the pyramid. The length of the altitude is the height of the pyramid. www.upcatreview.com
  • 4. Geometry Item 10-06 Like a prism, a pyramid is named by its base . If the base is a regular polygon and all lateral edges are congruent, the pyramid is called a regular pyramid . www.upcatreview.com
  • 5. Geometry Item 10-06 In a regular pyramid, all the lateral faces are congruent isosceles triangles . The slant height of a regular pyramid is the height of any one of the lateral faces. www.upcatreview.com
  • 6. Geometry Item 10-06 www.upcatreview.com slant height lateral face Regular triangular pyramid
  • 7. Geometry Item 10-06 The volume of a pyramid is one third the product of the area of the base B and the length of the altitude h . V = 1/3Bh . www.upcatreview.com
  • 8. Geometry Item 10-06 In the problem, B = 49 and h = 12. Thus, V = 1/3(49)(12) = 196 cm 3 ( Choice letter B ). www.upcatreview.com