condyyyy9456 condyyyy9456
  • 16-02-2021
  • Mathematics
contestada

A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface

Respuesta :

podgorica podgorica
  • 18-02-2021

Answer:

Total surface area is 48 square Centimeter

Step-by-step explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

Area calculation of triangular base

[tex]S = \frac{3+4+5}{2} = 6\\[/tex]

Area =

[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]

Substituting the given values in above equation we get

[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter

Total surface area

= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter

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