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Kailee1423
 one year ago
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
Kailee1423
 one year ago
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

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Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1@phi I would know how to do this if it wasn't for the slant height. How do I make it a regular height?

phi
 one year ago
Best ResponseYou've already chosen the best response.1not my best drawing. but the idea is the height from the top to the base lands exactly in the center of the square. the distance to a side is 1/2 the distance across, so 5

phi
 one year ago
Best ResponseYou've already chosen the best response.1if we concentrate on the triangle dw:1441660064080:dw

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1So 5 squared + 13 squared = h squared? That would be 194 = h squared. DO I dived 194 by 2 now?

phi
 one year ago
Best ResponseYou've already chosen the best response.1in \[ a^2 + b^2 = c^2 \] c is *always* the hypotenuse (the longest side) in this problem, the 13 is the hypotenuse

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1Oh ok. I should've known that. Lol. So h squared + 5 squared = 13 squared. (I don't know how to put the equation on here)

phi
 one year ago
Best ResponseYou've already chosen the best response.1you could type h^2 +5^2 = 13^2 5^2 means 5*5 13^2 means 13*13

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1Ok. Thanks! Lol and then once you solve that you do it exactly like the last problem we did?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. what do you get for h^2 ?

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1h^2+5^2=13^2 h^2=13^25^2 h^2=144 144/2=72 Did I do that right?

phi
 one year ago
Best ResponseYou've already chosen the best response.1h^2=144 ok. now take the square root of both sides. (h^2/2 does not "undo" the square)

phi
 one year ago
Best ResponseYou've already chosen the best response.1the idea is \( \sqrt{h^2 } =h \) so we do that to both sides

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1I did the sqare root of 144 on my calcalator and I got 12.

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, h=12 as a check you can do 5^2 + 12^2 and it should give 13^2 (and it does)

phi
 one year ago
Best ResponseYou've already chosen the best response.1btw, (some) people memorize 3,4,5 as forming a right triangle (5 is the hypotenuse) and also 5,12,13 is a right triangle. there are lots more, but these two show up on tests a lot.

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1Ok I have one more question to post. I hope I'm not bothering you!

phi
 one year ago
Best ResponseYou've already chosen the best response.1what did you get for the volume. (it would be a shape to make a mistake now)

phi
 one year ago
Best ResponseYou've already chosen the best response.1what is the formula for the volume of a pyramid?

phi
 one year ago
Best ResponseYou've already chosen the best response.1put in numbers for B and h

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1Oh it's 400. I forgot to put the 1/3 when I first did it

Kailee1423
 one year ago
Best ResponseYou've already chosen the best response.1That would have been a simple mistake lol Thanks
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