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Mathematics 12 Online
OpenStudy (anonymous):

Could you help me with this please?

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

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

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

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

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

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

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

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

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