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(1) A square has an area of 240cm squared. What is the length of each side? Leave in simplest radical form.

(2) A cube has a volume 2160cm cubed. What is the length of each side? Leave in simplest radical form.

Respuesta :

JoshEast
(1) A of square =  [tex]l[/tex]²

    if   Area = 240 cm²
then  [tex]l[/tex]² = 240 cm²

⇒ √([tex]l[/tex]²) = √(240 cm²)

⇒   [tex]l[/tex] = √(16 × 15)
         
       [tex]l[/tex]  =  4√15



(2) V of square =  [tex]l[/tex]³

    if   Volume = 2160 cm³
then  [tex]l[/tex]³ = 2160 cm³

⇒ √([tex]l[/tex]³) = ∛(2160 cm³)

⇒   [tex]l[/tex] = ∛(216 × 10)
       
       [tex]l[/tex] = 6 ∛10

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