La Arista De Un Cubo Mide 12cm.docx

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La arista de un cubo mide 12cm. Calcular: a a a a

a=12cm a) La longitud de su diagonal. D

𝒅 =?

𝒂

a

a

d

formula: 𝑫 = π’‚βˆšπŸ‘ 𝐷 2 = π‘Ž2 + 𝑏 2

√𝐷2 = βˆšπ‘Ž2 + 𝐷2

𝐷2 = 122 + 122

𝐷 = √122 + (√288)

𝐷2 = 144 + 144 √𝐷2 = √288 𝐷 = 16,97π‘π‘š

𝐷 = √144 + 288 𝐷 = √432 𝐷 = 12√3 = 20,78π‘π‘š

b) El Γ‘rea lateral del cubo. Formula :𝐴𝐿 = 4 βˆ™ π‘Ž 𝐴𝐿 = 4(12)2 𝐴𝐿 = 4 Γ— 144 𝐴𝐿 = 576π‘π‘š2

2

2

c) El volumen del cubo. Formula: 𝑉 = π‘Ž3

𝑣 = (12)3 𝑣 = 1,278π‘π‘š3

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