contestada

find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.

Respuesta :

mhanifa

Answer:

  • Lateral surface area is 216 in²
  • Total surface area is 324 in²

----------------------

Find the hypotenuse c of the base using Pythagorean theorem:

  • [tex]c=\sqrt{a^2+b^2}[/tex]
  • [tex]c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15[/tex]

Lateral surface area, three rectangular faces, is:

  • LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216

Find base area, the area of two right triangles:

  • A = 2*(1/2)(9)(12) = 108

Find total surface area:

  • TSA = LSA + Base areas
  • TSA = 216 + 108
  • TSA = 324

Otras preguntas