Answer:
1
[tex]B = 7.07 \ cm[/tex]
2
[tex]A =848.4 cm^2 [/tex]
3
[tex]A_T = 948.37 \ cm^2 [/tex]
Step-by-step explanation:
From the question we are told that
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]
=> [tex]B = \sqrt{\frac{1500}{ 30} }[/tex]
=> [tex]B = 7.07 \ cm[/tex]
Generally the lateral area of the prism is mathematically represented as
[tex]A = 4 * B * d[/tex]
=> [tex]A = 4 * 7.07 * 30 [/tex]
=> [tex]A =848.4 cm^2 [/tex]
Generally the total area of the prism is mathematically represented as
[tex]A_T = 2 * B + A[/tex]
=> [tex]A_T = 2 * (7.07) + 848.4[/tex]
=> [tex]A_T = 948.37 \ cm^2 [/tex]
