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Find the surface area of the prism.

A triangular prism. The base triangle is isosceles with a base of 6 yards, height of 4 yards, and leg of 5 yards. The height of the prism is 2 yards.

Find the surface area of the prism A triangular prism The base triangle is isosceles with a base of 6 yards height of 4 yards and leg of 5 yards The height of t class=

Respuesta :

Area of two traingle faces

  • 2(1/2BH)
  • BH
  • 6(4)
  • 24yd²

Area of base

  • LB
  • 2(6)
  • 12yd²

Area of rest two rectangles

  • 2LB
  • 2(5)(2)
  • 20yd²

Total surface area

  • 20+12+24
  • 20+36
  • 56yd²
semsee45

Answer:

56 yd²

Step-by-step explanation:

The surface area of the given triangular prism is made up of:

  • 2 congruent triangles
  • 2 congruent side rectangles
  • 1 base rectangle

Area of the triangle = 1/2 × base × height

                                 = 1/2 × 6 × 4

                                 = 12 yd²

Area of the side rectangle = width × length

                                            = 2 × 5

                                            = 10 yd²

Area of the base rectangle = width × length

                                             = 2 × 6

                                             = 12 yd²

Total Surface Area = 2 triangles + 2 side rectangles + base rectangle

                               = 2(12) + 2(10) + 12

                               = 24 + 20 + 12

                               = 44 + 12

                               = 56 yd²

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