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Mathematics 9 Online
OpenStudy (anonymous):

Kaci bought a birthday cake, like the one shown below, for her mother. (IMAGE)https://media.studyisland.com/pics/251698num2b.png If a = 4 inches, b = 4 inches, c = 10 inches, and d = 2 inches, what is the volume of the cake? A. 160 cubic inches B.112 cubic inches C.64 cubic inches D.144 cubic inches @iambatman @hartnn @Squirrels

OpenStudy (anonymous):

can anyone help me.

OpenStudy (anonymous):

@iambatman

OpenStudy (anonymous):

@Holly00d1248

OpenStudy (caominhim):

bottom volume = ACD, top volume = DBA do you understand why?

OpenStudy (anonymous):

Yes you split each shape up

OpenStudy (caominhim):

correct, and since you're given each value you can plug in the numbers and add the bottom to the top, that'll be your answer

OpenStudy (anonymous):

Can you give me the formulas?

OpenStudy (caominhim):

area of bottom + area of top = total area area of bottom = ACD area of top = DBA

OpenStudy (caominhim):

*replace the word area with volume

OpenStudy (anonymous):

So your saying for the area of bottom and top you multiply ACD as bottom then add that to area of top DBA?

OpenStudy (anonymous):

meant volume sorry

OpenStudy (anonymous):

Correct?

OpenStudy (caominhim):

yes

OpenStudy (anonymous):

Ok so one sec

OpenStudy (caominhim):

the volume of any rectangular prism is length*width*height

OpenStudy (anonymous):

4x10x2+2x4x4 correct?

OpenStudy (caominhim):

yep

OpenStudy (anonymous):

80+ 32 so the answer is 112 cubic inches correct?

OpenStudy (caominhim):

yes

OpenStudy (anonymous):

Thank you :)! Got little time for another problem?

OpenStudy (caominhim):

sure

OpenStudy (anonymous):

Ok Thanks

OpenStudy (anonymous):

Lemme get it

OpenStudy (anonymous):

https://media.studyisland.com/userfiles/shp3.gif (IMAGE)

OpenStudy (anonymous):

If Y = 13 inches, Z = 15 inches, H = 6 inches, and W = 3 inches, what is the area of the object?

OpenStudy (caominhim):

|dw:1426223836849:dw|

OpenStudy (anonymous):

so what would be the formula to solve this?

OpenStudy (caominhim):

is this a 3d wedge? sorry i'm having a hard time visualizing this

OpenStudy (anonymous):

https://media.studyisland.com/userfiles/shp3.gif

OpenStudy (caominhim):

alright gimme a sec

OpenStudy (caominhim):

okay you can break this up into 2 raised triangles, XH and part of Z....and the other is HY and the other part of Z, see the 2 triangles?

OpenStudy (caominhim):

|dw:1426224031996:dw|

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