Question

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

Answer 1

Answer:

$Total\ area = 327\ cm^{2}$

Step-by-step 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

Answer 2

The surface area is 327 cm²