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**Surface Area and Volume**

Vocabulary & Formulas

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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.

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**Rectangular Prism Definition:**

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

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

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**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?

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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?

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**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

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**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

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**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

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

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Surface Area and Volume 7 th Grade 2012-2013. Surface Area of Prisms Surface Area = The total area of all the surfaces of a three- dimensional object.

Surface Area and Volume 7 th Grade 2012-2013. Surface Area of Prisms Surface Area = The total area of all the surfaces of a three- dimensional object.

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