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Warm-Up

Warm-Up. Title your foldable: Chapter 10 Finding the Area & Volume of 3-Dimensional Figures. Prisms:. Right Prism – all lateral faces are rectangles. Oblique Prism – has at least on nonrectangular lateral face. Lateral Area – the sum of the areas of the lateral faces.

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Warm-Up

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  1. Warm-Up Title your foldable: Chapter 10 Finding the Area & Volume of 3-Dimensional Figures

  2. Prisms: Right Prism – all lateral faces are rectangles. Oblique Prism – has at least on nonrectangular lateral face. Lateral Area – the sum of the areas of the lateral faces. Surface Area – the total area of all faces and curved surfaces. Surface Area of an oblique prism – add the areas of the bases. Volume – Exact amount to fill the interior. Prisms have 2 bases and are named by the shape of the base. Lateral Area: Total Area: Volume: LA = Ph TA = LA + 2B V = Bh or V = lwh P = Perimeter of the base B = Area of the base

  3. Cylinders: Right Cylinder – the axis is perpendicular to its bases. Oblique Cylinder – axis is not perpendicular to its bases. Cylinders have 2 circular bases. Lateral Area: Total Area: Volume: LA = TA = LA + 2B or V = Bh or TA = V =

  4. Pyramids: Regular Pyramid - has a regular polygon, and the lateral faces are congruent isosceles triangles. Slant height of a regular pyramid – is the distance from the vertex to the midpoint of an edge of the base. Pyramids have 1 base and you name a pyramid by its base. Lateral Area: Total Area: Volume: LA = TA = LA + B or V = TA = = slant height

  5. Cones: Right Cone – the axis is perpendicular to the base. Slant height of a right cone – is the distance from the vertex of the right cone to a point of the edge of the base. Oblique Cone - the axis is not perpendicular to the base. Lateral Area: Total Area: Volume: LA = TA = LA + B or TA =

  6. Spheres: Sphere – is the locus of points in space that are a fixed distance from a given point called the center of a sphere. Radius of a sphere – connects the center to any point on the sphere. Hemisphere – half of a sphere Great Circle – divides a sphere into 2 hemispheres Surface Area: Volume: SA = V =

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