Apyramid has a square base with sides of length s. the height of the pyramid is equal to of the length of a side on the base. which formula represents the volume of the pyramid?
a. v=1/12s^3
b. v=1/6s^3
c. v=1/3s^3
d. v=3s^3
e. v=6s^3

The volume of the pyramid with a base area of s² and the height s is

The formula for calculating the volume of a square based pyramid is expressed as:

Volume = 1/3 * Base area * Height

Since it is a square-based pyramid, the base area is calculated as:

Base Area = s²

If the height of the pyramid is equal to of the length of a side on the base, hence h = s

Substituting the base area and the height into the formula for the volume, this will give;

Hence the volume of the pyramid with a base area of s² and the height s is

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²

V = (1/3)s³

Step-by-step explanation:

The area of a square base with side length s is A = s².  The volume of this pyramid is thus V = (1/3)s²h, where h represents the height.  We are told that the height is equal to s.  Thus, V = (1/3)s³.  This matches Answer C.

Note:  when possible answer choices are given to you, please share them.  Also, please enclose fractions inside parentheses to eliminate ambiguity.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

c

step-by-step explanation: