Question

I need my Geometry people to help me please ?! What is the surface area of the triangular prism shown? Show all of your work.

Answer 1

This is what I got !

A triangular prism has 3 rectangles and 2 triangles. The first step would be to find the area of one triangle because both of the triangles have the same base and Height. The area formula for a triangle is 1/2 base times height. The base of the Triangles is 12 and the height is 9cm. So the area of the triangle is A=1/2(12)(9) = 54.

step 1: A = 1/2 bh
Step 2: A = 1/2 12 (9 m)
Step 3: A = 54m
That is the same for both triangles.
The rectangles are different
The formula for a rectangle area is A=l.w

Rectangle 1:
Step 1: A = l.w
step 2: A = 12.6
Step 3: A = 72m

Rectangle 2:
Step 1: A = l.w
Step 2: A = 6m.9m
Step 3: A =54m
Rectangle 3:

Step 1: A = l.w
Step 2: A= 15.6
Step 3: A = 90m

Now you have to add up all your areas so 54 + 54 + 54 + 72 + 90 = 324m
So 324m is the answer.

Answer 2

Yeah, you nailed it!

Answer 3

I hope so thank you :) !

Answer 4

SA = 2 * 1/2 * 9 * 12 + (9+12+15)6
= 108 + 216
= 324

you are right :)