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## anonymous 3 years ago The total area of the rectangular prism shown is

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1. anonymous

2. anonymous

What do you need to find?

3. anonymous

the total are of that retangular

4. anonymous

i mean that prism

5. anonymous

Ok, do you know the formula to find the area of a rectangle?

6. anonymous

the formula my math gives me to find the answer is total area= ph+2B

7. anonymous

Right! Remember that a capital P = permeter of the base, and capital B = area of the base. A = Ph + 2B So lets find the perimeter and area of the base.|dw:1363050666823:dw|

8. anonymous

Can you tell me what is the perimeter of the base?

9. anonymous

its not 6 is it?

10. anonymous

No, that'd be the area though!

11. anonymous

okay how do i find the perimeter then?

12. anonymous

Remember, the perimeter is the sum of all the sides. For rectangles, there is a simple formula 2* length + 2*width

13. anonymous

so its 10?

14. anonymous

Right. (:

15. anonymous

okayyy that helps a lot now i k how to do it

16. anonymous

it ends up being 64 right?

17. anonymous

if you could stay on this question please incase i have simular questions to ask

18. anonymous

62 i meant

19. anonymous

So we have: P = 6 B = 10 h = 5 A = Ph + 2B A = 6(5) + 2(10)

20. anonymous

Sorry but I've gotta go. I'll be back in about 15-20 min.

21. anonymous

Find the total area of the prism.

22. anonymous

Same steps. A = Ph + 2B So lets find the perimeter and area of the base. |dw:1363053998087:dw|

23. anonymous

Perimeter = 12 * 4 = ? Area = 12 * 12 = ?

24. anonymous

144

25. anonymous

nvm ik how to do that one i need help with another

26. anonymous

Find the lateral area for the prism.

27. anonymous

Great! Lateral area is the area of the faces, not including the bases of the figure. The formula for this is: LA = Ph (P = perimeter of the base) |dw:1363054464534:dw|We need to find the missing side length.

28. anonymous

how do i do that? i forget is it 8?

29. anonymous

To do this we use the Pythagorean theorem: $\large a^2 + b^2 = c^2$Where a, b, and c are the side lengths. ****c always stands for the hypotenuse(longest side)**** So we have: $\large 6^2 + 4^2 = c^2$$\large 36 + 16 = c^2$$\large 52 = c^2$Find the square root to solve for c.$\large \sqrt{52} =\sqrt{c^2}$$\large 7.211 = c$

30. anonymous

And now we find the perimeter: |dw:1363054954194:dw|

31. anonymous

so would the answer be 12+16(sqrt52)

32. anonymous

?

33. anonymous

Perimeter, you're simply adding all the sides. 6 + 7.2 + 4

34. anonymous

no i meant the final answer

35. anonymous

LA = (17.2)(8)

36. anonymous

ugh im confused very confused

37. anonymous

this is what its asking me to fill in

38. anonymous

Oh wow. I'm sorry, hold on a second/

39. anonymous

okie dokie

40. mathslover

http://hotmath.com/hotmath_help/topics/surface-area-of-a-prism.html does this show anything?

41. mathslover

I think @jazy has done right

42. mathslover

but to express in the terms I am also confused.

43. mathslover

write it : $$\large{0 + 16\sqrt{13}}$$ or $$\large{0 + 8\sqrt{52}}$$

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