שטח פני תיבה
Author: המרכז הארצי למורים למתמטיקה בחינוך העל יסודי

סיבוב התיבה

M=2ah+2bh =2h(a+b)

שטח מעטפת של תיבה

הנוסחה לשטח מעטפת של תיבה

חישוב

קדימה

אחורה

שמאל

ימין

למעלה

למטה

α = 0.5235987755982988 rad (slider from 0 to 3.141592653589793, step 0.017453292519943295)
b = 10 (slider from 0.25 to 10, step 0.25)
A = (19.377620569363504, -1.435468818448928)
C = Point(Circle[A, b])
a = 8 (slider from 0.25 to 10, step 0.25)
h = 6 (slider from 0.25 to 10, step 0.25)
B = Point(Circle[A, a])
a_3 = Segment(A, B)
B' = Rotate(B, 180.0° - α, A)
α_1 = Angle(B, A, B')
b_1 = Segment(B', A)
c = Segment(A, C)
C' = Rotate(C, α, A)
β = Angle(C, A, C')
d = Segment(A, C')
D = Point(Circle[A, h])
e = Segment(A, D)
D' = Rotate(D, 90.0*°, A)
γ = Angle(D, A, D')
f = Segment(D', A)
E: (x(B'), y(B') + h)
g = Segment(B', E)
h_1 = Segment(E, D')
F: (x(C'), y(C') + h)
i = Segment(D', F)
j = Segment(F, C')
k = Line(E, i)
l = Line(F, h_1)
G = Intersect(k, l)
m = Segment(E, G)
n = Segment(G, F)
H: (x(G), y(G) - h)
p = Segment(B', H)
q = Segment(H, C')
r = Segment(H, G)
poly1, e_1, d', a_1, b' = Polygon(E, D', A, B')
poly2, d'_1, f_1, c', a_2 = Polygon(D', F, C', A)
poly3, e_2, g_1, f_2, d'_2 = Polygon(E, G, F, D')
S: 2.0 * a * b + 2.0 * a * h + 2.0 * b * h
s_1: S
o = false
s = false
V: a * b * h
I = (50.119108357620284, -2.0683818023248026)
J: (x(I) + a, y(I))
K: (x(I), y(I) + h)
L: (x(J), y(K))
poly4, k_1, l_1, j_1, i_1 = Polygon(K, L, J, I)
M_1: (x(I) - b, y(I))
u = Vector(J, M_1)
K' = Translate(K, u)
L' = Translate(L, u)
J' = Translate(J, u)
I' = Translate(I, u)
poly4', k', l', j', i' = Polygon(K', L', J', I')
poly5, l'_1, k_2, i_2, j'_1 = Polygon(L', K, I, J')
v = Vector(J', J)
L'' = Translate(L', v)
K'_1 = Translate(K, v)
I'_1 = Translate(I, v)
J'' = Translate(J', v)
poly5', l'', k'_1, i'_1, j'' = Polygon(L'', K'_1, I'_1, J'')
N: (x(K), y(K) + b)
P: (x(L''), y(N))
poly6, n_1, k_3, l''_1, p_1 = Polygon(N, K, L'', P)
w = Vector(N, I)
N' = Translate(N, w)
K'_2 = Translate(K, w)
L''' = Translate(L'', w)
P' = Translate(P, w)
poly6', n', k'_2, l''', p' = Polygon(N', K'_2, L''', P')
M: 2.0 * a * h + 2.0 * b * h
text4: "M=" + M + " סמ'ר"