Question

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answer 1

Answer:

$390ft^2$

Step-by-step explanation:

Ok so we have 2 (congruent) triangles and 3 rectangles.

Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be $ft^2$

Now let's start:

First, I am going to start with finding the area of the rectangles.

$12\cdot11=132\\13\cdot11=143\\5\cdot11=55\\\\55+143+132=330$

Alright, next lets move on to the triangles.

They are both the same, if you notice. So find one and double it.

$12\cdot5=60\\\frac{60}{2}=30\\30\cdot2=60$

now lets add em all

330+60

= 390 and thats your final answer, dont forget to include the unit, ft^2