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MA_775_DIABLO [31]
2 years ago
15

Elena tiene cubos de 12, 16 y 18 mm. Ella desea hacer tres torres, una con cada tipo de cubo. Las tres torres deben ser lo más p

equeñas posibles, pero también deben compartir la misma altura. ¿Que altura en milímetros deberán tomar las torres?
A) 122 mm
B) 144 mm
C) 96 mm
D) 2 mm
Mathematics
1 answer:
Neko [114]2 years ago
4 0

La altura que deben tener las tres torres es 144 milímetros. (Opción B)

En este ejercicio se debe determinar la altura <em>común</em> de las tres torres, hechas cada una con cada tipo de cubo (12 milímetros, 16 milímetros y 18 milímetros). Un enfoque es determinar el mínimo común múltiplo de los tres números, a partir de descomposiciones factoriales de cada número:

12 = 2^{2}\times 3

16 = 2^{4}

18 = 2\times 3^{2}

El mínimo común múltiplo es el producto de las potencias de <em>máximo</em> orden de los números primos que componen a cada uno de los tres números:

m.c.m. = 2^{4}\times 3^{2}

m.c.m. = 144\,mm

La altura que deben tener las tres torres es 144 milímetros.

Invitamos cordialmente a ver esta pregunta sobre el mínimo común múltiplo: brainly.com/question/21756809

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