Answer:
1
 [tex]B  =  7.07 \  cm[/tex]
2
[tex]A Â =848.4 cm^2 [/tex]
3
[tex]A_T Â = 948.37 \ Â cm^2 [/tex]
Step-by-step explanation:
From the question we are told that Â
  The lateral edge of a square prism is  [tex]d = 30 \ cm = 0.3 \ m[/tex]
  The angle of inclination is  [tex]\theta = 70^o[/tex]
  The volume of the prism is  [tex]V = 1500\ cm^3[/tex]
Generally the base of the prism is mathematically represented as
   [tex]B  =  \sqrt{\frac{V}{ d} }[/tex]
=> Â [tex]B Â = Â \sqrt{\frac{1500}{ 30} }[/tex]
=> Â [tex]B Â = Â 7.07 \ Â cm[/tex]
Generally the lateral  area of the prism is mathematically represented as
    [tex]A  = 4 *  B  *  d[/tex]
=> Â Â [tex]A Â = 4 * Â 7.07 Â * Â 30 [/tex]
=> Â Â [tex]A Â =848.4 cm^2 [/tex]
Generally the total area of the prism is mathematically represented as
   [tex]A_T  =  2 * B  + A[/tex]
=> Â [tex]A_T Â = Â 2 * (7.07) Â + 848.4[/tex]
=> Â [tex]A_T Â = 948.37 \ Â cm^2 [/tex]
