Surface Area and Volume

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Presentation transcript:

Surface Area and Volume Vocabulary & Formulas

Prism Definition: A three-dimensional solid that has two congruent and parallel faces that are polygons. The remaining faces are rectangles. Prisms are named by their faces.

Rectangular Prism Definition: A three-dimensional solid that has two congruent and parallel faces that are rectangles. The remaining faces are rectangles.

Cube Definition: A rectangular prism in which all faces are congruent squares.

Surface Area Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper will I need to fit on the outside of the shape?

Volume Definition: The measure in cubic units of the interior of a solid figure; or the space enclosed by a solid figure. Ex. How much sand will it hold?

Surface Area of a Rectangular Prism Ex: How much construction paper would I need to fit on the outside of a particular rectangular prism? Formula: S.A. = 2LW + 2Lh + 2Wh

Surface Area of a Cube Ex: How much construction paper would I need to fit on the outside of a particular cube? Formula: S.A. = 6s2

Volume of a Rectangular Prism Ex: How much sand would I need to fill the inside of a particular rectangular prism? Formula: V = L*W*h

Volume of a Cube Ex: How much sand would I need to fill the inside of a particular cube? Formula: V = s3