Warm-UpTitle your foldable:

Chapter 10Finding 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.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

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 =

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

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 =

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 =