# Distance of points

A regular quadrilateral pyramid ABCDV is given, in which edge AB = a = 4 cm and height v = 8 cm. Let S be the center of the CV. Find the distance of points A and S.

### Correct answer:

Tips for related online calculators

See also our right triangle calculator.

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

**geometry**- similarity of triangles
**algebra**- expression of a variable from the formula
**solid geometry**- pyramid
- space diagonal
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
- square
- diagonal
- The Law of Cosines
**goniometry and trigonometry**- cosine
- tangent
- arctangent

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Calculate 8354

In a regular pyramid in which the edge of the base is | AB | = 4cm; height = 6cm, calculate the angle of the lines AV and CV, V = vertex. - Quadrilateral 40551

Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Angle of two lines

There is a regular quadrangular pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV. - Quadrilateral 5277

Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Quadrilateral pyramid

Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Quadrilateral 23911

Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 12 cm and a height of 11 cm. - Height of pyramid

The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height? - Special body

Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - Chord

It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB. - Tetrahedral pyramid 8

Let all the side edges of the tetrahedral pyramid ABCDV be equally long, and its base let us be a rectangle. Find its volume if you know the deviations A=40° B=70° between the planes of adjacent sidewalls and the base plane. The height of the pyramid is h - Quadrilateral 81385

A regular quadrilateral pyramid with base edge length a = 15cm and height v = 21cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Quadrilateral 35053

Calculate the volume of a regular quadrilateral pyramid, the base edge of which measures 6 cm and the height 10 cm - Regular quadrilateral pyramid

Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge a applies: V = 2.8 m³, v = 2.1 m - Triangular 46641

The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - Surface of pyramid

A regular quadrilateral pyramid has the height of the sidewall equal to the length of the edge of the base. The area of the sidewall is 32 cm². What is the surface of the pyramid? - Quadrilateral 23701

We know the base diagonal length of u = 4 cm in a regular quadrilateral pyramid. The height of the pyramid is v = 5cm. Calculate the size of the side edge and the base edge of the pyramid. - Quadrilateral 8221

Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm