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Determinați lungimea muchiei cubului care are volumul egal cu: a)1000 dm³; b)0,125 m³​

Răspuns :

a)

[tex]v = {l}^{3} [/tex]

[tex]1000 {dm}^{ 3} = {l}^{3} [/tex]

[tex]l = \sqrt[3]{1000} = 10dm[/tex]

b)

[tex]v = {l}^{3} [/tex]

[tex]0.125 {m}^{3} = {l}^{3} [/tex]

[tex] {l}^{3} = 125 {dm}^{3} [/tex]

[tex]l = \sqrt[3]{125} = 5dm[/tex]

Răspuns:

V=L³

L³=1000dm³=>L³=(10dm)³=>L=10dm

L³=0,125m³=>L³=125/1000m³=>L³=1/8=>L=(1/2)³=>L=0,5m