Volume Formulas Square Pyramids, Hexagons, Triangles + Example Problems

Formula.co.id - For this time we will learn about what a pyramid is, the formula for the volume of a pyramid whether it's a triangular pyramid, a quadrilateral, a hexagon, and also an example of a pyramid problem, therefore, friends, formula.co.id all must understand this article and try to work on the example of the pyramid problem which will be presented below, let's just discuss it, please see the discussion below :

Definition of Limas

The definition of a pyramid itself is a 3-dimensional flat shape that has a polygon-shaped base and a triangular vertical plane and one of the corners meets at one point. And if you want to see an example of the image you can see below:

Now from the example of the pyramid image above, we can get an element of the pyramid space, and what are the elements? Please see the discussion below:

Elements of Limas

1. Corner point
2. Lateral
3. side plane

Actually there are many forms of pyramids, namely the first form of a triangular pyramid, a rectangular pyramid, a pentagonal pyramid, a hexagon pyramid, an n-sided pyramid and many more.

But for the elements of the pyramid itself, I have prepared the elements for you, friends, please see:

1. Triangular pyramid

• A triangular pyramid has 4 vertices
• A triangular pyramid has 4 sides
• And a triangular pyramid has 6 edges

1. Rectangular pyramid

• A quadrilateral pyramid has 5 vertices
• A quadrilateral pyramid has 5 sides = 1 base + 4 upright sides
• And a quadrilateral pyramid has 8 edges = 4 sides + 4 sides + 4 sides

1. pentagon

• A pentagonal pyramid has 6 vertices
• A pentagon pyramid has 6 sides = 1 base + 5 upright sides
• And a pentagon pyramid has 10 edges = 5 base edges + 5 upright edges

1. Pyramid hexagon

• A hexagon pyramid has 7 vertices
• Hexagon pyramid has 7 sides = 1 side + 6 upright sides
• And a hexagon pyramid has 12 edges = 6 base sides + 6 upright edges

Characteristics of Limas

1. Its top plane is an acute point
2. The bottom area is a flat shape
3. The side that is perpendicular is a triangle

Limas Volume Formula

V = 1/3 x area of ​​base x height of side

Example of Limas Volume Problem

1. A pentagonal pyramid with regularity T.ABCDE, the length of AB is 10 cm, then length Its AO is 13 cm long, and its height is 25 cm, so find the volume of the pyramid that?

Answer:

It is known that = length of AB = 10 cm

AO length = 13 cm

His height = 25 cm

In the question = volume of the pyramid?

Height of pyramid = 13² cm – 5²

= 169 cm – 25

= 144 cm

= 12 cm

Volume = 1/3 x area of ​​base x height

= 1/3 x ( 6 x x 10 cm x 12 cm ) x 25 cm

= 120 cm x 25 cm

= 3,000 cm

So, the volume of the pentagon pyramid is 3,000 cm³

1. A pentagonal pyramid has a known base area of ​​50 cm² and the height of the pyramid is 15 cm, then what is the volume of the pentagonal pyramid?

Answer:

It is known = area of ​​base = 50 cm²

Height = 15 cm

In the question = volume of the pentagon pyramid?

Volume = area of ​​base x height

= 50 cm² x 15cm

= 750 cm³

So, the volume of the pentagon pyramid is 750 cm³

That was a brief explanation of the formula for the volume of a pyramid, whether it is a triangular pyramid, a quadrilateral, and a hexagon, hopefully friends who have seen it can understand it, hopefully it will be useful

Related Formulas:

• Spherical Volume Formula
• Tube Volume Formula