Meghan Does Math

Geometric Shapes

    Any shape (2D, 3D, etc.)

  A shape that has width and height. 

           Square                     Circle                          Rectangle                               Triangle

Characteristics of a square: All sides and angles are equal, all angles are 90 degrees, four edges, parallelogram, etc.

Characteristics of a circle: Every circle has a diameter, radius, circumference, and center, every circle is round, no angles or sides, etc.

Characteristics of a rectangle:  Parallelogram, four right angles, etc.

Characteristics of a triangle: All angles measure 60 degrees, 3 edges, 3 angles, etc.

            Cube                       Sphere                      Cuboid (rectangular prism)                       Pyramid

A shape that has depth, width, and height.

Characteristics of a cube: Six square faces, three faces meeting at each vertex, equal angles and edge-lengths, right angles, etc.

Characteristics of a sphere: Has a diameter, radius, and circumference, has a center, spherical, etc.

Characteristics of a cuboid: Six faces, made up of six rectangles, has right angles, has height length and depth, etc.

Characteristics of a pyramid: Made up of four triangles and one square, has a base and apex, one base, etc.

  Area of 2D Shapes

Perimeter of 2D Shapes

3

3

3

6

 base x height

 base (3) x height (3)

 3 x 3 =

  9 square units 

base x height

base (6) x height (3)

6 x 3 =

18 square units

3.14 (pi) x r x r

3.14 (pi) x radius (14) x radius (14)

3.14 x 14 x 14 =

615.44 square meters

height x base / 2

height (6) x base (4) / 2

6 x 4 / 2 =

12 square centimeters 

3

3

3

3

base + base + height + height

base (3) + Base (3) + height (3) + height (3)

3 + 3 + 3 + 3 =

12 units

3

3

6

6

base + base + height + height

base (6) + Base (6) + height (3) + height (3)

6 + 6 + 3 + 3 =

18 units

2 x 3.14 (pi) x r

2 x 3.14 (pi) x radius (14)

2 x 3.14 x 14

87.92 units

side + side + base

4

8

8

side (8) + side (8) + base (4)

8 + 8 + 4 =

20 units

(Surface) Area of 3D Shapes

Perimeter of 3D Shapes

3

3

3

6 x a x a

6 x side (3) x side (3)

6 x 3 x 3

54 square units

4 x 3.14 (pi) x r x r

4 x 3.14 (pi) x radius (14) x radius (14)

4 x 3.14 x 14 x 14

2461.8 square units

3

3

6

2 (w x l + h x l + h x w)

2 (width (3) x length (6) + height (3) x length (6) x  height (3) x width (3) )

2 (3 x 6 + 3 x 6 + 3 x 3)

90 square units

0.5 x sh x p + b

4

4

0.5 x slant height (7) x perimeter (16) + base area (16)

0.5 x 7 x 16 + 16

72 square units

7

3

3

3

3

3

6

7

4

4

edge length x number of edges

edge length (3) x number of edges (12)

3 x 12

36 units

all lengths of edges added together

6 + 6 + 6 + 6 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 =

48 units

all edges of base added up together

4 + 4 + 4 + 4 =

16 units

No perimeter