# Advance Geometry Project

*“Geometry is the archetype of the beauty of the world.”* To understand the spatial skills, starting with nothing is better than geometry. So, let’s initiate to develop these skills by understanding the real-world situations of analyzing shapes and finding figure values.

## Introduction:

Spatial and geometric reasoning is not a single ability, skill, or process. By building on strengths and interests that are already present, we can foster an ongoing enthusiasm for mathematics and provide a logical context to develop the number of ideas of the children.

## Theory:

Perimeter: It is the distance around the outside of the shape. Perimeter is measured in linear units

Area: It is the space inside the flat shape. Area is measured in square units

Circumference: It is the distance around the circle. Circumference is measured in linear units

Volume: It is the amount of space displaced by a solid 3D shape. Volume is measured in cubic units

Surface Area: It is the total area that the surface of 3D shape occupies. Surface area is measured in square units

SHAPE FORMULAS

Rectangle: Area = length x width = lw Perimeter = 2 x length + 2 x width = 2l + 2w

Triangle: Area = ½ x base x height = ½ bh Perimeter = Sum of all sides = a + b + c

Circle: r: Radius: distance from the center to a point on the circle d: diameter: the distance between two points on the circle through the center Circumference = 2𝜋r = 𝜋d (Assume 𝜋 = 3.14)

Dimensional Shapes

Cylinder: Volume = 𝜋r2 x height = 𝜋r2h (Assume 𝜋 = 3.14) Surface = 2𝜋rh + 2𝜋r2 (Assume 𝜋 = 3.14)

Cone: Volume = ⅓ 𝜋r2h (Assume 𝜋 = 3.14) Surface = 𝜋r(r + h2 + r2 ) (Assume 𝜋 = 3.14)

Sphere: Volume = 4/3 𝜋r3 (Assume 𝜋 = 3.14)