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

 

 

 

 

 

 

 

 

 

 

MKY3Surface Area Cube

Surface Area Cuboid

Volume of a Cube 1

Volume of a Cube 2

Volume of a Rectangular Prism

Find the length of a side of a cube

Find the Surface Area of a cube

Find the missing lengths of a Cuboid

Find missing value for rectangular prism

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

 

 

 

 

 

 

 

 

 

 

 

MKY3 Surface Area of a Triangular Prism 1

 

Surface Area of a  Triangular Prism 2

 

Surface Area of a  Triangular Prism 3

 

 Volume of a Triangular Prism1

Volume of a Triangular Prism2

Volume of a Triangular Prism3

 

Base area of a triangular prism

Height of a triangular 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

Surface Area of Square Pyramid 

Surface Area of Tetrahedron 

Volume of Square Pyramid 

Volume of Triangular Pyramid

 

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

 

Volume

Volume of a Cube

Cube

Rectangular Prism

Triangular Prism

Trapezoidal Prism

Pyramid

Sphere

Cylinder

Cone

Cones

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

SurfaceArea

Cubes.htm

Cylinders.htm

Rectangular Prims.htm

Spheres.htm

Square Pyramids

Triangular Pyramids

Triangular Prisms

Surface Area Cylinder

 

 

 

 

 

 

Surface Area Cylinder1

Surface Area Cylinder2

Surface Area Cylinder3

 

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)

Cuboid Missing Value 3

Rectangular Prism missing value 3

Rectangular Prism problems 3

Rectangular Prism problems 4

Surface Area of a Rectangular Prism 3

Volume rectangular Prism 3

Volume rectangular Prism 4