Mathematics
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OpenStudy (anonymous):
Could you help me with this please?
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OpenStudy (anonymous):
What is the surface area of the composite figure?
ganeshie8 (ganeshie8):
its a solid, lets start by calculating areas of front and back faces
ganeshie8 (ganeshie8):
area of front face = area of back face
ganeshie8 (ganeshie8):
area of front face = 5x10 + 20x5
= ?
OpenStudy (anonymous):
150
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ganeshie8 (ganeshie8):
back face also will have the same area 150
Area front + back faces = 300 --------------(1)
OpenStudy (anonymous):
okay so we have 300 now would we do the top and bottom?
ganeshie8 (ganeshie8):
lets do that
OpenStudy (anonymous):
how would you do that?
ganeshie8 (ganeshie8):
area of top = area of bottom
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ganeshie8 (ganeshie8):
if u see it from top its just 5+20 = 25 m length surface of 5m width
ganeshie8 (ganeshie8):
so Area of top = 25x5
= ?
OpenStudy (anonymous):
125 so the bottom is 125 as well so its 250 if you add the top and bottom so 250 + 300 = 550
OpenStudy (anonymous):
but 550 isnt an answer?
ganeshie8 (ganeshie8):
dont forget adding left and right faces
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OpenStudy (anonymous):
so is it 600?
ganeshie8 (ganeshie8):
when u see it from left, u see 2
when u see it from right, u see 2
ganeshie8 (ganeshie8):
so total 4 squares of 5x5 size
4 (25) = ?
OpenStudy (anonymous):
100 so is it 650?
ganeshie8 (ganeshie8):
yes
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OpenStudy (anonymous):
Okay, i think i understand it now, if i have anymore questions can i come and ask you ?
ganeshie8 (ganeshie8):
sure :)
OpenStudy (anonymous):
Could you help em with this one here?
OpenStudy (anonymous):
What is the volume of the prism?
ganeshie8 (ganeshie8):
find the area of front triangle
multiply it with the length of prism 12yd
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ganeshie8 (ganeshie8):
Area of front triangle is the base here
OpenStudy (anonymous):
so wait, can you just fine the area of one face and add them together to get the answer?
ganeshie8 (ganeshie8):
No. this is NOT surface area. this is volume
ganeshie8 (ganeshie8):
volume of prism = Bh
B = base area = ?
h = height = 12
ganeshie8 (ganeshie8):
find the base area first
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ganeshie8 (ganeshie8):
base area = \(\large \frac{1}{2} 6 \times 5\)
= ?
OpenStudy (anonymous):
15?
ganeshie8 (ganeshie8):
yes plugit in volume formula
ganeshie8 (ganeshie8):
volume of prism = Bh
= 15 x 12
= ?
OpenStudy (anonymous):
180
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ganeshie8 (ganeshie8):
yes
OpenStudy (anonymous):
oh okay thank you very much this is actually really easy now, i really understand it thanks alot!
ganeshie8 (ganeshie8):
good :) you're wlcme :D
OpenStudy (anonymous):
hey i have one question what are two methods of finding the volume of this picture? like you could put it into two rectangles what is another way?
OpenStudy (anonymous):
@ganeshie8