Solids

Solids


Cube.  A prism with six congruent faces.

Opposite faces are parallel.

cube1

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

cube

 

 

 

 

 

 

 

 

 

 

Rectangular Prism.  A prism with rectangular bases.

Rprism

 

 

 

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

cuboid

 

 

 

 

 

 

 

 

 

 

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

 

MKY3

Triangular Prism.  A prism with triangular bases.

Only the bases are parallel.

Tprism

 

 

 

 

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:

SA

 

 

 

 

 

Lateral area = perimeter of the base times the height of the prism

Triangular Prism Net

Triang prism

 

 

 

 

 

 

 

 

 

 

 

 

 

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.

Sq Pyramid

 

 

 

 

 

 

 

 

 

 

5 Faces (4 Side Faces are Triangles, the Base is a Square)

8 Edges

5 Vertices

 

Triangular Pyramid. A pyramid with a triangular base.

Tpyramid

 

 

 

 

 

 

 

 

 

Triangular Pyramid

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4 Faces  (3 Side Faces are Triangles, the Base is a Triangle)

6 Edges

4 Vertices

 

MKY3

 

 

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

 

BookSurface Area 38

Surface Area 39

Surface Area 40

Surface Area 41

Surface Area 42

Surface Area 43

Surface Area 44

Surface Area 45

Surface Area 46

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

Vol

 

 

Surface Area: The total area of the outside surfaces of an object. (The surface area is the sum of each of the sides)

SurfaceArea

 

Surface Area Cylinder

 

 

 

 

 

 

 

 

voc

 

 

Geometry 1D Vocabulary 

Geometry 2D Vocabulary

Geometry 3D  Vocabulary

Quadrilaterals Vocabulary  

Triangles Vocabulary

writing

 

 

Geometry 2D Writing

Geometry 2D+ Writing

Geometry 3D writing

 

 

 

Volume and Surface Area of Rectangular Prisms  (with decimal values)