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.

a

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116