Question

Find the total surface area of the prism. geometry hw. plz help me

Answer 1

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²