Question

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

Answer 1

a)

$v = {l}^{3}$

$1000 {dm}^{ 3} = {l}^{3}$

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

b)

$v = {l}^{3}$

$0.125 {m}^{3} = {l}^{3}$

${l}^{3} = 125 {dm}^{3}$

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

Answer 2

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