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Use the image of the L-shaped composite figure formed by two rectangular prisms to answer the question.

4 cm
8 cm
2 cm
14 cm
20 cm
What is the volume for the figure in cubic centimeters?
Enter your answer as a number, like this: 42
Do not enter units.

2 Answers

9 votes

Answer:

did u guys ever figure it out

Explanation:

User ANewGuyInTown
by
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9 votes

Just to have fun, I have written a transcript scenario. Your answer is in the paragraph as if I was teaching it! Hope this improves the quality of the answer, if it hasn't just give your review! Have a nice day!

All right. So you want the surface area for this composite figure? So, the surface area, we're going to split into two different shapes. So, I'm gonna do this shape here. That's kind of up. And then I'll do this one. That's kind of flattered. Okay, so when we look at the base, because our surface area formula, let's start with. That is perimeter times high plus two times the area of the base. So, I need the perimeter of this. This is my base, right? I'm thinking about the one that's on the bottom that I can't see. So this is 20 and four. So when you do perimeter, I'm gonna say 20 plus 20 Plus four Plus 4. That's perimeter. The height is eight plus two. And then my area of the base is the two numbers I used in the first parentheses. So four times 20. Okay, so let's see. 20 plus 20 is 40, 40-plus 8 is 48. 48 times eight Is 3 84. Okay. Plus four times 20 is 80, maybe times two is 1 60. If I add all this together And your calculator or do it by hand, you get 5:44. So that is the surface area for the shape that I drew mostly over just now. Let me do it in red for the next one. So my base for this one, I'm actually gonna use 20 and 14 for my perimeter. So the same kind of steps, 20 plus 20 plus 14 plus 14. And then my height is too Plus two times the area of the base. So 20 times 14. So 40 plus 28. Because that's what 14 plus 14 is is 68 68 Times two for the height. So I get 1 36 plus And now 20 times 14 gives you 2 80 times two. It's 5 60 Plus 1 36. So I'm adding these together now And you get 6 96. Alright, We're almost done. Now. We have to take our first answer and add it To our second answer. So 6 96. So 6 96 plus 5 44. You can use your calculator, you get 1240. And if you wanted to use correct units it's centimeters squared. Alright. I hope this helps.

Image attatched is the actual problem.

Use the image of the L-shaped composite figure formed by two rectangular prisms to-example-1
User Swoox
by
3.2k points