To find the volume of the quadrangular table, how to calculate the volume of the quadrangular table?

You can't see the diagram, but the bottom surface of the quadrangular table doesn't necessarily have to be divided into two regular triangles.

The lower underside is 2sqrt(3)(2 3).

The landlord is right.

Can you show me another look at what you are asking?

Quadrangular table volume formula: v=(s1 + 4s0 + s2) *h 6.

S Up + S Down + (S Up S Down)]*H 3 (Can be used for pyramids) [Upper Area + Lower Area + Root Number Lower (Upper Area Lower Area)] High 3

S up + S down) * H 2 (cannot be used for pyramids) (top area + bottom area) x height 2

The calculation is as follows:

Quadrangular table volume formula:

1. [S on + S on + (S on S down)] * H 3 (can be used for quadrangular pyramid) [Upper area + lower area + root number below (upper area and lower area)] High 3

2. (S up + S down) * H 2 (cannot be used for quadrangular pyramids) (upper area + lower area early land judgment) x height 2

Introduction:

Volume, a geometric term. When the space occupied by an object is three-dimensional, the size of the occupied space is called the volume of the object. The SI system of units for volume is cubic meters. One-dimensional objects (e.g., lines) and two-dimensional objects (e.g., squares) are zero-volume.

China, and the world's first to come up with the correct formula for calculating the volume of a sphere, was the Southern Dynasty mathematician Zu Chongzhi, about a thousand years earlier than the Europeans. He also carefully studied the art of celestial arithmetic (referring to astronomical mathematics), refined the Ming calendar, and was officially promulgated in 510 after his repeated requests, and he also made a variety of precision observation instruments such as copper sundials (an instrument that uses the method of measuring the shadow of the sun to measure the time of the morning bird), leaky pots, etc., which were taken by later generations.

Quadrangular platformVolume formulaYes: v=[s1 + 4s0 + s2] h 6.

Note: S1 refers to the upper and lower area, S2 refers to the lower bottom area, S0 refers to the middle section area, H refers to the height, and this volume formula has one more parameter S0 - the middle cross-sectional area. The above formula is known as the "one-size-fits-all formula."

The quadrangular table is a special trapezoidal body (like a square and a rectangle), that is, the bottom and top surfaces are square, and the sides are isosceles trapezoidal.

A quadrangular table is a special trapezoidal body (like a square and a rectangle), that is, the bottom and top surfaces are similar quadrilaterals.

The sides are trapezoidal, and the extension lines of the four edges can meet at one point.

Derivation of the quadrangular table volume formula:

by similar triangles.

B h1 = a (h1 + h2), so h1 = bh2 (a-b).

V stage = a 2 (h1 + h2) 3-b 2 h1 3.

h1(a^2-b^2)/3+h2×a^2/3。

a+b)*b*h2/3+a^2×h2/3。

a^2+b^2+ab）×h2/3。

Formula for calculating the volume of the quadrangular table.

S Up + S Down + (S Up S Down)]*H3 (Can be used for quad pyramids.)

Special [upper area + lower area + root number below (upper area belongs to the lower area)] high 3.

S up + S down) * H 2 (cannot be used for pyramids) (top area + bottom area) x height 2

Note: The first easiest formula is to put a cube.

As a quadrangular table verification 2 to see the pyramid as a quadrangular table with an area of 0 above, it is applicable to the first formula, but the pyramid cannot be used with the first formula.

Quadrangular table volume formula:

S up + S down + (S on S Down)]*H 3 (can be used for quadrangular pyramid) upper area + lower area + root number under hail (upper area Lower area)] height 3, (S up + S down) *h 2 (cannot be used for quadrangular pyramid) upper area + lower area) x height 2

Note: 1 The first slowest and simplest formula can be verified with a cube as a quadrangular platform.

2 Think of the pyramid as a quadrangular platform with an area of 0 on it, which applies to the first formula, but the pyramid cannot be used in the first formula.

A quadrangular table is a geometry enclosed by a quadrilateral with similar but not overlapping upper and lower bottom faces, with three prismatic edges and four faces. If we know the upper and lower surfaces, the lower bottom surface and the height of the quadrangular table, we can find the volume of the quadrangular table.

To require the volume of a quadrangular table, we need to first understand the definition and properties of a quadrangular table. The quadrangular platform is a geometric body surrounded by four faces, in which the distance between the upper and lower bottom surfaces is called the height, the upper and lower bottom surfaces are two parallel planes, and the four sides are trapezoidal, so the volume of the quadrangular platform can be seen as the sum of the volume of a prism and four trapezoids.

We can then use the following formula to find the volume of the quadrangular table:

v = 1/3) *h * a1 + a2 + sqrt(a1 * a2))

where V is the volume of the quadrangular surface, H is the height of the quadrangular platform, A1 is the area of the upper and lower surfaces, A2 is the area of the lower bottom surface, and SQRT (A1 * A2) is the square root of the product of the area of the upper and lower bottom surfaces.

Of course, if we only know the length and height of the bottom side of the quadrangular table, we can also use the following formula to find the volume of the quadrangular table:

v = 1/3) *h * a1 + a2 + sqrt(a1 * a2))

where h represents the height of the quadrangular platform, and s1 and s2 represent the side lengths of the upper and lower bottom surfaces respectively, then the area of the upper and lower bottom surfaces can be expressed as: a1 = s1 2 * sqrt(3)) 4 and a2 = s2 2 * sqrt(3)) 4.

To sum up, to require the volume of the quadrangular table, we need to know the upper and lower surfaces, lower surfaces and heights of the pure bilant platform of the four bridges. The volume of the quadrangular table can be calculated using the formula v = 1 3) *h * a1 + a2 + sqrt (a1 * a2)) or v = 1 3) *h * a1 + a2 + sqrt (a1 * a2)). <>