mvrc1996
The total area of the rectangular prism shown is
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mvrc1996
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jazy
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What do you need to find?
mvrc1996
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the total are of that retangular
mvrc1996
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i mean that prism
jazy
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Ok, do you know the formula to find the area of a rectangle?
mvrc1996
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the formula my math gives me to find the answer is
total area= ph+2B
jazy
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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|
jazy
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Can you tell me what is the perimeter of the base?
mvrc1996
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its not 6 is it?
jazy
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No, that'd be the area though!
mvrc1996
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okay how do i find the perimeter then?
jazy
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Remember, the perimeter is the sum of all the sides. For rectangles, there is a simple formula 2* length + 2*width
mvrc1996
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so its 10?
jazy
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Right. (:
mvrc1996
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okayyy that helps a lot now i k how to do it
mvrc1996
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it ends up being 64 right?
mvrc1996
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if you could stay on this question please incase i have simular questions to ask
mvrc1996
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62 i meant
jazy
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So we have:
P = 6
B = 10
h = 5
A = Ph + 2B
A = 6(5) + 2(10)
jazy
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Sorry but I've gotta go. I'll be back in about 15-20 min.
mvrc1996
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Find the total area of the prism.
jazy
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Same steps.
A = Ph + 2B
So lets find the perimeter and area of the base.
|dw:1363053998087:dw|
jazy
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Perimeter = 12 * 4 = ?
Area = 12 * 12 = ?
mvrc1996
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144
mvrc1996
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nvm ik how to do that one i need help with another
mvrc1996
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Find the lateral area for the prism.
jazy
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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.
mvrc1996
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how do i do that? i forget is it 8?
jazy
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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.\[\large \sqrt{52} =\sqrt{c^2}\]\[\large 7.211 = c\]
jazy
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And now we find the perimeter: |dw:1363054954194:dw|
mvrc1996
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so would the answer be 12+16(sqrt52)
mvrc1996
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?
jazy
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Perimeter, you're simply adding all the sides. 6 + 7.2 + 4
mvrc1996
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no i meant the final answer
jazy
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LA = (17.2)(8)
mvrc1996
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ugh im confused very confused
mvrc1996
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this is what its asking me to fill in
jazy
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Oh wow. I'm sorry, hold on a second/
mvrc1996
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okie dokie
mathslover
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I think @jazy has done right
mathslover
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but to express in the terms I am also confused.
mathslover
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write it : \(\large{0 + 16\sqrt{13}}\) or \(\large{0 + 8\sqrt{52}}\)