Question

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.

Answer 1

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

Answer 2

56 yd²

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