Question

What is the surface area, in square feet, of the triangular prism?

Answer 1

C. 108 square inches

Explanation:

How do we find the surface area?

❖ To find the surface area, we have to calculate the area of each

shape on a 3D figure.

Solving for Area of Triangles

• 
  `(3*4)/(2)`
• 
  `12/2 = 6`
• 
  `6*2 = 12`
• Area of triangles are 12 square feet.

Solving for Area of Rectangles

• 
  `(8*3)+(8*4)+(8*5)`
• 
  `24+32+40`
• 
  `96`
• Area of rectangles are 96 square feet.

Solving Area of Rectangle and Triangle

• 96 + 12
• 108 square inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer 2

108 ft²

Explanation:

Area of a rectangle = width × length

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

Surface area = rectange + rectangle + rectangle + 2 congruent triangles

= (3 × 8) + (4 × 8) + (5 × 8) + 2(1/2 ×3 × 4)

= 24 + 32 + 40 + 12

= 108 ft²