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Mathematics 17 Online
OpenStudy (anonymous):

What is the volume of the prism?

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

Volume of prism = (base area)*(height)

ganeshie8 (ganeshie8):

start by figuring out what could be the `base` and `height `

OpenStudy (anonymous):

Is it 1200?

ganeshie8 (ganeshie8):

nope, you need to count area of one base face only... not both the faces

OpenStudy (anonymous):

but I got 150 for the base area then multiplied it by 8.

ganeshie8 (ganeshie8):

whats your base shape ? triangle or rectangle ?

OpenStudy (anonymous):

15x10=150?

OpenStudy (anonymous):

Rectangle.

ganeshie8 (ganeshie8):

thats a mistake, not everything lying on bottom is a base here, the base is a triangle

OpenStudy (anonymous):

How do you know what's a base and what's not?

ganeshie8 (ganeshie8):

remember this : for a prism, the opposite faces look identical for a base

ganeshie8 (ganeshie8):

the prism is just sleeping... so its base falls on sides

ganeshie8 (ganeshie8):

base = triangle height = 10 work it now

OpenStudy (anonymous):

OH!

OpenStudy (anonymous):

So 8*15/2?

ganeshie8 (ganeshie8):

yes thats the base area

OpenStudy (anonymous):

Okay.

ganeshie8 (ganeshie8):

multiply it by the height for the volume

OpenStudy (anonymous):

What's the height?

ganeshie8 (ganeshie8):

if the triangle is base, what will be the height ?

OpenStudy (anonymous):

Would it be 15?

ganeshie8 (ganeshie8):

think of rotating the prism by 90 degrees towards you

ganeshie8 (ganeshie8):

so that the triangular base stays on bottom

ganeshie8 (ganeshie8):

then height will be 10 right ?

ganeshie8 (ganeshie8):

height is the distance between two base faces

ganeshie8 (ganeshie8):

here, height = distance between two triangular bases = ?

OpenStudy (anonymous):

Oh so the height is 10.

OpenStudy (anonymous):

So 60x10=600

ganeshie8 (ganeshie8):

Yes !

ganeshie8 (ganeshie8):

nope

OpenStudy (anonymous):

Thank you so much. These prisms are so confusing.

ganeshie8 (ganeshie8):

whats the area of one base ?

OpenStudy (anonymous):

No?

ganeshie8 (ganeshie8):

Area of base = 8*15/2 = ?

OpenStudy (anonymous):

120 time 10?

OpenStudy (anonymous):

The base area is 60

ganeshie8 (ganeshie8):

Yes ! base area = 60

OpenStudy (anonymous):

So multiply 60(BA) by 10(H)?

ganeshie8 (ganeshie8):

Oh! my bad !! you're right !!! i got confused earlier >.<

OpenStudy (anonymous):

Haha it's fine.

ganeshie8 (ganeshie8):

600 is correct! good job :)

OpenStudy (anonymous):

THANK YOU.

OpenStudy (anonymous):

You deserve 10 metals!

OpenStudy (anonymous):

:D

ganeshie8 (ganeshie8):

no, you deserve them :)

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