Question

What is the surface area of the triangular prism net diagram?

SURFACE AREA OF A TRIANGULAR PRISM: Area of the 3 rectangles + Area of the 2 triangles


87 cm²


327 cm²


240 cm²


123.5 cm²

Answer 1

the surface area is 327 cm²

Answer 2

`Total\ area = 327\ cm^(2) \\`

Explanation:

Hello, I think I can help you with this

let's remember the area of a rectangle

Area(r) =length * width

and, the area of a triangle is

Area (t)=(base* height)/2

Step 1

find the area of the triangle

the triangles are similar, so

Base=10 cm

height=8.7 cm

Hence,

Area(t)=(10 cm*8.7 cm)/2

Area(t)=43.5 cm2

Step 2

find the area of the rectangle

the rectangles are similar, so

length=10 cm

width=8 cm

Hence,

Area(r)=(10 cm*8. cm)

Area(r)=80 cm2

Step 3

Add

there are 2 triangles and 3 rectangles, so the total area is

Total area=2 *Area(t)+3*Area(r)

put the values into the equation

Total area=2*43.5 cm2+3*80 cm2

Total area=87 cm2+ 240 cm2

Total area= 327 cm2

`Total\ area = 327\ cm^(2) \\`

Have a great day