## mvrc1996 2 years ago The total area of the rectangular prism shown is

1. mvrc1996

2. jazy

What do you need to find?

3. mvrc1996

the total are of that retangular

4. mvrc1996

i mean that prism

5. jazy

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

6. mvrc1996

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

7. jazy

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. jazy

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

9. mvrc1996

its not 6 is it?

10. jazy

No, that'd be the area though!

11. mvrc1996

okay how do i find the perimeter then?

12. jazy

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

13. mvrc1996

so its 10?

14. jazy

Right. (:

15. mvrc1996

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

16. mvrc1996

it ends up being 64 right?

17. mvrc1996

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

18. mvrc1996

62 i meant

19. jazy

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

20. jazy

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

21. mvrc1996

Find the total area of the prism.

22. jazy

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

23. jazy

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

24. mvrc1996

144

25. mvrc1996

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

26. mvrc1996

Find the lateral area for the prism.

27. jazy

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. mvrc1996

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

29. jazy

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. jazy

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

31. mvrc1996

so would the answer be 12+16(sqrt52)

32. mvrc1996

?

33. jazy

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

34. mvrc1996

no i meant the final answer

35. jazy

LA = (17.2)(8)

36. mvrc1996

ugh im confused very confused

37. mvrc1996

this is what its asking me to fill in

38. jazy

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

39. mvrc1996

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 $$\large{0 + 8\sqrt{52}}$$