82.8k views
4 votes
a square prism has square sides with area x^2+8x+16 and rectangular sides with area 2x^2+15x+28. What expression represents the surface area of the square prism

1 Answer

2 votes

Answer:

10x^2+76x+144

Explanation:

Hi there! I'm glad I was able to help you solve this scary-looking problem! :P

Remember, the surface area of a square prism is the SUM (+) of the areas of the two square sides AND the four rectangle sides:

(x^2+8x+16) + (x^2+8x+16) + (2x^2+15x+28) + (2x^2+15x+28) + (2x^x+15x+28) + (2x^2+15x+28)

You may be wondering why we don't just write it as (x^2+8x+16) times itself + (2x^2+15x+28) times 4, but we have to group like terms next, and in order to do that we have to see what what we're left with, as shown below:

(x^2+x^2+2x^2+2x^2+2x^2+2x^2) + (8x+8x+15x+15x+15x+15x) + (16+16+28+28+28+28)

It may look complicated, I know, but all you have to do now for the final step is combine the like terms, resulting in your answer, 10x^2+76x+144!

I hope this helped you! If you think I've made a mistake, leave a comment below and I'll be happy to help you further! <3

User Gblazex
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories