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.

$s=\sqrt{h^2+\frac{1}{4}a^2}$ ,where,

s = Slant height,

h = Height,

a = Each side of square base.

Upon substituting our given values in above formula, we will get:

$10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}$

$10=\sqrt{h^2+\frac{1}{4}\cdot 144}$

$10=\sqrt{h^2+36}$

Switch sides:

$\sqrt{h^2+36}=10$

Let us square both sides:

$(\sqrt{h^2+36})^2=10^2$

$h^2+36=100$

$h^2+36-36=100-36$

$h^2=64$

Now we will take positive square root of both sides.

$\sqrt{h^2}=\sqrt{64}$

$h=8$

Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.

7 0

3 years ago

If its 1.50$ for 6 how much does each one cost

Lesechka [4]

25 cents each would be the anwser

5 0

3 years ago

I need help with my science work

melomori [17]

Q3) Ba= 2
N= 6
O = 18

7 0

3 years ago