Nuevo ejercicio

x

S_{1}

S_{2}

S_{3}

Desarrollo de las caras en el plano

Superficie de cada cara

Cálculo de la superficie total

Planteamiento de la ecuación

Soluciones

Resolución

La  \; superficie \;  total \; de  \; la  \;  caja \;  de \;  la  \; figura

Enunciado

A = (1.2904398082721444, 1.0998729432531995)
a = Random(5, 8)
p: a / 2
b = Random(3, 4)
q: (a + b) / 2
c = Random(1, 2)
r: (a - c) / 2
A2: A + (p, 0)
A20 = NaN
A3: A + (p, q)
A4: A + (0, q)
A5: A2 + (r / 2, r / 2)
A6: A3 + (r / 2, r / 2)
A7: A4 + (r / 2, r / 2)
polígono1, a_1, a2, a3, a4 = Polygon(A, A2, A3, A4)
polígono2, a2_1, a5, a6, a3_1 = Polygon(A2, A5, A6, A3)
polígono3, a3_2, a6_1, a7, a4_1 = Polygon(A3, A6, A7, A4)
texto2: "x+" + b + ""
texto3: "x-" + c + ""
B1 = (-6.029097455949097, -0.7992502388150108)
B2: B1 + (p, 0)
B3: B2 + (r, 0)
B4: B3 + (p, 0)
B5: B4 + (r, 0)
C1: B1 - (0, q)
C2: B2 - (0, q)
C3: B3 - (0, q)
C4: B4 - (0, q)
C5: B5 - (0, q)
D1: B1 + (0, r)
D2: B2 + (0, r)
E1: C1 - (0, r)
E2: C2 - (0, r)
texto7: "S_{1}=x (x+" + (LaTeX[b]) + ") =x^{2}+" + (LaTeX[b]) + "x"
bc: b - c
bpc: (b * c)
texto8: "S_{2}=(x-" + (LaTeX[c]) + ") (x+" + (LaTeX[b]) + ")= x^{2}+" + (LaTeX[bc]) + "x-" + (LaTeX[bpc]) + ""
bc4: (4 * (b - c))
bc2: ((2 * b) * c)
polígono4, c1, c2, b2, b1 = Polygon(C1, C2, B2, B1)
polígono5, c2_1, c3, b3, b2_1 = Polygon(C2, C3, B3, B2)
polígono6, c3_1, c4, b4, b3_1 = Polygon(C3, C4, B4, B3)
polígono7, c4_1, c5, b5, b4_1 = Polygon(C4, C5, B5, B4)
polígono8, e1, e2, c2_2, c1_1 = Polygon(E1, E2, C2, C1)
polígono9, b1_1, b2_2, d2, d1 = Polygon(B1, B2, D2, D1)
n = 0 (slider from 0 to 5, step 1)
texto9: "S_{3}=x (x-" + (LaTeX[c]) + " ) =x^{2}-" + (LaTeX[c]) + " x"
e: 6
f: ((b + bc - c) * 2)
g: (bpc * 2)
texto10: "S_{T}=2 (S_{1}+S_{2}+S_{3})=" + (LaTeX[e]) + "x^{2}+" + (LaTeX[f]) + "x-" + (LaTeX[g]) + ""
B = (-2.9915696434261294, 2.740184918429962)
sa: (((a * (a + b)) + (a * (a - c)) + ((a + b) * (a - c))) * 2)
P(x) = (e * x^(2)) + (f * x) - g
sb: P(a)
Q = Simplify(P(x) - sa)
texto16: "" + (LaTeX[e]) + " x^{2}+" + (LaTeX[f]) + " x- " + (LaTeX[g]) + "=" + (LaTeX[sa]) + " →" + (LaTeX[Q]) + "=0"
lista1 = Factors(Q)
h = Factor(Q)
s1, s2 = Root(Q)
xs1: x(s1)
xs2: x(s2)
texto19: "es \;  " + (LaTeX[sa]) + " \; cm^{2}. \;  Calcula  \; el \;  valor \;  de \;  la \;  arista \;  x."
texto18: "Soluciones de la ecuación:   x = " + xs1 + ";  x = " + xs2 + "

La solución válida es x = " + a + ""
n1: n + 1
texto22: "Paso " + n1 + ""