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High school mathematics requires two geometric formulas (vertebral body, frustum, sphere and prism = =)? Volume? zone
(3) Surface area

1、

Straight prism

and

Positive pyramid

Surface area of

Let the height of the prism be h,

the seamy side

polygonal

bellyband

For c, the formula for calculating the side area of right-angle prism is obtained:

S=ch, that is, right-angle prism.

border area/region

Equal to the product of the perimeter and height of its bottom,

The side of a regular pyramid

perspective drawing

These are some congruent.

isosceles triangle

, the bottom is a regular polygon,

If you set its bottom surface,

Length of side

Is a, the bottom circumference is c,

slant height

For h', you get positive n.

pyramid

The formula for calculating the transverse area of.

S =1/2 * nah' =1/2 * ch', that is, the side area of a regular quadrangular pyramid is equal to its bottom surface.

panel truck

Half of the product of perimeter and diagonal height,

2、

Orthoprism

Surface area of

The side development of the prism is some congruent isosceles trapezoid,

Let the side length of the lower bottom surface of the prism be a, the perimeter of the prism be c, the side length of the upper bottom surface be a', the perimeter be c', and the inclined height be h', then the formula of the side area of the regular N prism is obtained:

s = 1/2 * n(a+a’)h’= 1/2(c+c’)h’,

3, the surface area of the ball

S = 4 π r 2, i.e.

range

The area is equal to four times the area of its great circle.

Edit the volume of this paragraph (4)

1, cuboid volume

V=abc=Sh

2. Prism volume

cylinder

V=Sh, that is, the volume of a cylinder is equal to its.

Jianping

The product of s and high h,

column

V=πr^2h、

Step 3: pyramids

V= 1/3*Sh

4. Cone

V= 1/3*πr^2h

5. Prism

V= 1/3*h(S+(√SS')+S ')

Step 6 truncate the cone

V= 1/3*πh(r^2+rr'+r'^2)

7. Ball

V=4/3*πR^3