What is the surface area of the faces of the pyramid?
1 answer:
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So hmm notice the picture below
is a "square" pyramid, thus, the base is a square, all sides are the same
now, we know the volume is 75 and one side is 5
thus
solve for "h" or height
is a "square" pyramid, thus, the base is a square, all sides are the same
now, we know the volume is 75 and one side is 5
thus
solve for "h" or height
Answer:
B.
Step-by-step explanation:
To simplify something that looks like you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had , then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of is
.
This is the thing we are multiplying and top and bottom.