Question

Find the surface area of the prism.

Answer 1

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

Answer 2

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