# Solids

## Cube.  A prism with six congruent faces.

Opposite faces are parallel. 6 Faces (each face is a square)

12 Edges

8 Vertices (corner points)

The surface area of a cube is the area of the six squares that cover it.  (Surface Area = 6 a²)

Volume of a cube = a³     (Volume=side times side times side).

Cube Net Rectangular Prism.  A prism with rectangular bases. Opposite faces are parallel.

6 Faces (each face is a rectangle)

12 Edges

8 Vertices

The surface area of a rectangular prism is the area of the six rectangles that cover it.

Surface Area = 2wl + 2 hl + 2hw

Volume = l w h    (volume=length*width*height)

Rectangular Prism Net  SA01 Surface Area of a Cube 1

SA02 Surface Area of a Cube 2

SA30 Surface Area of a Cube 3

SA12 Surface Area

VO01 Volume of a Cube 1

VO03 Volume of a Cube 2

VO04 Volume of a Cube 3

VO02 Volume and Surface Area of a Cube

SA03 Surface Area of a Rectangular Prism

VO05 Volume of a Rectangular Prism 1

VO06 Volume of a Rectangular Prism 2

VO08 Volume of a Rectangular Prism 3

VO09 Volume of a Rectangular Prism 4

VO31 Volume of a Rectangular Prism 5

VO32 Volume of a Rectangular Prism D1

VO33 Volume of a Rectangular Prism D2

VO34 Volume of a Rectangular Prism D3

VO35 Volume of a Rectangular Prism D4

VO36 Volume of a Rectangular Prism D5

VO37 Volume of a Rectangular Prism D6

SA13 Volume of a Rectangular Prism D7

VO07 Volume and Surface Area of a Rectangular Prism 1

VO07 Rectangular Prism Problems Triangular Prism.  A prism with triangular bases.

Only the bases are parallel. 5  Faces

9  Edges

6  vertices

Surface area of a triangular prism = area of the three rectangles + area of two triangles

A formula that works for all prisms is: Lateral area = perimeter of the base times the height of the prism

Triangular Prism Net  SA05 Surface Area of a Right Triangular Prism

SA06 Surface Area of a Triangular Prism 1

SA07 Surface Area of a Triangular Prism 2

VO14 Volume of a Triangular Prism 1

VO15 Volume of a Triangular Prism 2

VO16 Volume of a Triangular Prism 3

VO17 Volume of a Triangular Prism 4

VO18 Volume of a Triangular Prism 5

VO19 Volume of a Trapezoidal Prism

Square Pyramid. A pyramid with a square base. 5 Faces (4 Side Faces are Triangles, the Base is a Square)

8 Edges

5 Vertices

Triangular Pyramid. A pyramid with a triangular base.  4 Faces  (3 Side Faces are Triangles, the Base is a Triangle)

6 Edges

4 Vertices SA08 Surface area of a Square Pyramid

VO20 Volume of a Square Pyramid 1

VO21 Volume of a Square Pyramid 2

VO22 Volume of a Square Pyramid 3

SA04 Surface area of a Triangular Pyramid

VO23 Volume of a Triangular Pyramid 1

VO24 Volume of a Triangular Pyramid 2

Surface Area 39

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Surface Area 44

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Surface Area 47

Surface Area 48

Surface Area 49

Surface Area 50

Surface Area 51

Volume:  measure of the amount of space inside of a solid figure Surface Area: The total area of the outside surfaces of an object. (The surface area is the sum of each of the sides)   Geometry 1D Vocabulary

Geometry 2D Vocabulary

Geometry 3D  Vocabulary

Triangles Vocabulary Geometry 2D Writing

Geometry 2D+ Writing

Geometry 3D writing Volume and Surface Area of Rectangular Prisms  (with decimal values)