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Mathematics 15 Online
OpenStudy (anash):

The bottom shape is a square prism with base edges of 3 cm and a height of 10 cm. What is the volume of the composite figure if the top shape is a right pyramid with a height of 2 cm?

OpenStudy (schrodinger):

Given that volume for a prism like this is equal to l*w*h, the volume for the prism should be: 3*3*10. For the overall composite figure, considering that the volume of a right pyramid is 1/3(Base Area)(Height), we can calculate base area as being 9 because 3*3 = 9. Plug that in, and we get volume for the pyramid = 1/3(9)(2). Finally, just add together the two values that you get for the right pyramid and the prism.

OpenStudy (anash):

so is it 6?

OpenStudy (schrodinger):

Did you read everything I said, if I can ask?

OpenStudy (anash):

Yes, 1/3 times 9 times 2 is 6

OpenStudy (schrodinger):

No, the entire thing, not just that one paragraph. Don't be lazy, read the ENTIRE thing. :P

OpenStudy (anash):

I did

OpenStudy (schrodinger):

...."Finally, just add together the two values that you get for the right pyramid and the prism."

OpenStudy (schrodinger):

You didn't do any addition in there. You're clearly missing something, XD. You know what six is? Six is only the value for the pyramid on top. What about the volume of the square prism?

OpenStudy (anash):

I didn't get that part

OpenStudy (schrodinger):

Then you should ask that you didn't get it, otherwise I can't help. :L So what didn't make sense?

OpenStudy (anash):

How to get the volume of the square prism

OpenStudy (schrodinger):

...but what did you not understand? "Given that volume for a prism like this is equal to l*w*h, the volume for the prism should be: 3*3*10." What of this didn't make sense for you?

OpenStudy (schrodinger):

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