We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.
We will use slant height of a pyramid formula to solve our given problem.
,where,
s = Slant height,
h = Height,
a = Each side of square base.
Upon substituting our given values in above formula, we will get:



Switch sides:

Let us square both sides:




Now we will take positive square root of both sides.


Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.
Lateral Area, namely the area of its sides, namely excluding its base.
well, the pyramid is standing on one of its triangular faces, so we'll have to exclude that.
now, let's notice, is a square pyramid, so it has an 8x8 square, and it has triangular faces that have a <u>base of 8 and a height of 22</u>.
![\bf \stackrel{\textit{square's area}}{(8\cdot 8)}~~+~~\stackrel{\textit{3 triangular faces' area}}{3\left[ \cfrac{1}{2}(8)(22) \right]}\implies 64+264\implies 328](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bsquare%27s%20area%7D%7D%7B%288%5Ccdot%208%29%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7B3%20triangular%20faces%27%20area%7D%7D%7B3%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%288%29%2822%29%20%5Cright%5D%7D%5Cimplies%2064%2B264%5Cimplies%20328)
Answer: inequality
Step-by-step explanation:
An <u>inequality</u> is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship. Here are some different inequalities for an example:
6 < 11
7 > 2
12.5 ≠ 13.5
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