The total area of the rectangular prism shown is

- anonymous

The total area of the rectangular prism shown is

- schrodinger

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- anonymous

##### 1 Attachment

- anonymous

What do you need to find?

- anonymous

the total are of that retangular

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- anonymous

i mean that prism

- anonymous

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

- anonymous

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

- 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|

- anonymous

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

- anonymous

its not 6 is it?

- anonymous

No, that'd be the area though!

- anonymous

okay how do i find the perimeter then?

- anonymous

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

- anonymous

so its 10?

- anonymous

Right. (:

- anonymous

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

- anonymous

it ends up being 64 right?

- anonymous

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

- anonymous

62 i meant

- anonymous

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

- anonymous

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

- anonymous

Find the total area of the prism.

##### 1 Attachment

- anonymous

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

- anonymous

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

- anonymous

144

- anonymous

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

- anonymous

Find the lateral area for the prism.

##### 1 Attachment

- 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.

- anonymous

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

- 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.\[\large \sqrt{52} =\sqrt{c^2}\]\[\large 7.211 = c\]

- anonymous

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

- anonymous

so would the answer be 12+16(sqrt52)

- anonymous

?

- anonymous

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

- anonymous

no i meant the final answer

- anonymous

LA = (17.2)(8)

- anonymous

ugh im confused very confused

- anonymous

this is what its asking me to fill in

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- anonymous

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

- anonymous

okie dokie

- mathslover

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

- mathslover

I think @jazy has done right

- mathslover

but to express in the terms I am also confused.

- mathslover

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

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