Question

The lateral edge of a square prism is 30 cm long and it is inclined at an

Answer 1

Answer:

1

 $B = 7.07 \ cm$

2

$A =848.4 cm^2$

3

$A_T = 948.37 \ cm^2$

Step-by-step explanation:

From the question we are told that  

   The lateral edge of a square prism is  $d = 30 \ cm = 0.3 \ m$

    The angle of inclination is  $\theta = 70^o$

    The volume of the prism is  $V = 1500\ cm^3$

Generally the base of the prism is mathematically represented as

     $B = \sqrt{\frac{V}{ d} }$

=>   $B = \sqrt{\frac{1500}{ 30} }$

=>   $B = 7.07 \ cm$

Generally the lateral  area of the prism is mathematically represented as

       $A = 4 * B * d$

=>     $A = 4 * 7.07 * 30$

=>     $A =848.4 cm^2$

Generally the total area of the prism is mathematically represented as

     $A_T = 2 * B + A$

=>   $A_T = 2 * (7.07) + 848.4$

=>   $A_T = 948.37 \ cm^2$