What is the volume of pyramid? The following article will introduce you to the formula and how to calculate the volume of pyramid, regular pyramid, please refer.
What is pyramid?
The pyramid is the shape of the bottom is a polygon and the sides are triangles with the same vertex. This peak is called the peak of the pyramid.
The height of the pyramid is the line passing through the top and perpendicular to the bottom plane.
The name of the pyramid is based on the bottom polygon: The triangular pyramid is the triangle, the quadrilateral pyramid with the bottom is the quadrilateral.
Special pyramids
The tetrahedron pyramid is even
The tetrahedra is a pyramid with all equal sides, all sides are equilateral triangles. In particular, O is the center of the bottom triangle and the pond perpendicular to (BCD).
The quadrilateral pyramid
The quadrilateral pyramid is the pyramid with all the sides equal, the bottom polygon is the center square, compared to the bottom (ABCD).
The formula for calculating the circumference of the pyramid
The circumference of the pyramid is equal to the sum of the perimeter of the bottom and the sides (applied to triangular pyramid, quadrilateral pyramid).
Recipe:
P = Pbottom + Pside
In there:
Pđáy is the perimeter of the bottom
Pcác mặt bên is the circumference of the side faces
Pyramid volume
(Applies to triangular pyramids, quadrilateral pyramids)
Recipe
In there:
S is the bottom areah is height
Exercise on calculating the volume of the pyramid
Lesson 1:
The pyramid S.ABCD has the base of the square ABCD by A, the side of the SA perpendicular to the bottom plane and SC created with the bottom at an angle equal to 60º. Calculate the volume of the pyramid S.ABCD.
Prize:
Lesson 2: Given the equilateral quadrilateral SABCD with the sides of the triangles, AB = 8m, O is the midpoint of AC. How many sides SABCD pyramid has? How long is the length?
Prize:
The pyramid SABCD is a quadrilateral pyramid, so there are 8 sides.
The pyramid SABCD should be the bottom ABCD is square and the triangle OAB is square at O.
Apply Py-ta-go theorem to the OAB right triangle
AB² = OB²+ OB² → AB² = 2OA²
OA =
The pyramid has the sides of the triangle, so the SAB triangle is an equilateral triangle. Hence:
SA = AB = 8M
We have the same perpendicular to OA so the square SOA triangle at O. Apply the Py-ta-go theorem we have:
Sb² = os² + OA²
