Kailee1423
  • Kailee1423
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Kailee1423
  • Kailee1423
@phi I would know how to do this if it wasn't for the slant height. How do I make it a regular height?
1 Attachment
phi
  • phi
|dw:1441659885410:dw|
phi
  • phi
|dw:1441659931267:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

phi
  • phi
not 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
  • phi
if we concentrate on the triangle |dw:1441660064080:dw|
Kailee1423
  • Kailee1423
So 5 squared + 13 squared = h squared? That would be 194 = h squared. DO I dived 194 by 2 now?
Kailee1423
  • Kailee1423
divide*
phi
  • phi
in \[ a^2 + b^2 = c^2 \] c is *always* the hypotenuse (the longest side) in this problem, the 13 is the hypotenuse
Kailee1423
  • Kailee1423
Oh 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
  • phi
you could type h^2 +5^2 = 13^2 5^2 means 5*5 13^2 means 13*13
Kailee1423
  • Kailee1423
Ok. Thanks! Lol and then once you solve that you do it exactly like the last problem we did?
phi
  • phi
yes. what do you get for h^2 ?
Kailee1423
  • Kailee1423
h^2+5^2=13^2 h^2=13^2-5^2 h^2=144 144/2=72 Did I do that right?
phi
  • phi
h^2=144 ok. now take the square root of both sides. (h^2/2 does not "undo" the square)
phi
  • phi
the idea is \( \sqrt{h^2 } =h \) so we do that to both sides
Kailee1423
  • Kailee1423
I did the sqare root of 144 on my calcalator and I got 12.
phi
  • phi
yes, h=12 as a check you can do 5^2 + 12^2 and it should give 13^2 (and it does)
phi
  • phi
btw, (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
  • Kailee1423
Ok I have one more question to post. I hope I'm not bothering you!
phi
  • phi
what did you get for the volume. (it would be a shape to make a mistake now)
Kailee1423
  • Kailee1423
1200?
phi
  • phi
what is the formula for the volume of a pyramid?
Kailee1423
  • Kailee1423
1/3BH
phi
  • phi
put in numbers for B and h
Kailee1423
  • Kailee1423
Oh it's 400. I forgot to put the 1/3 when I first did it
phi
  • phi
yes, 400
Kailee1423
  • Kailee1423
That would have been a simple mistake lol Thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.