SURFACE AREA & VOLUME PYRAMIDS Unit 10 April 6, 2015

A Pyramid is a three dimensional figure with a regular polygon as its base and lateral faces are identical isosceles triangles meeting at a point. Pyramids base = quadrilateral base = pentagon base = heptagon Identical isosceles triangles

PYRAMIDS You name a pyramid by the shape of its base (triangular pyramid, rectangular pyramid, etc)

4 REGULAR PYRAMIDS A regular pyramid has a base which is always a regular polygon. The lateral faces all intersect at a point called the vertex and form triangles. The altitude or height is a segment from the vertex perpendicular to the base. The slant height is the height of a lateral face. Lateral side vertex altitude Slant height Base

SURFACE AREA AND VOLUME OF A PYRAMID

SURFACE AREA OF A PYRAMID Find the Surface Area of the Pyramid 12in 11in

Volume of a Pyramid Find the volume of the rectangular pyramid.

8 PYRAMID FORMULAS Regular Pyramids: Lateral Area: L.A. = ½ lp (p = perimeter, l = slant height) Surface Area: S.A. = ½ lp + B (B = area of base) Volume: V = ⅓ Bh ( B = area of base, h = height)