A right pyramid with a square base has a base length of x inches, and the height is two inches longer than the length of the base. Which expression represents the volume in terms of x?

StartFraction x squared (x + 2) Over 3 EndFraction cubic inches
StartFraction x (x + 2) Over 3 EndFraction cubic inches
StartFraction x cubed Over 3 EndFraction + 2 cubic inches
StartFraction x cubed + 2 Over 3 EndFraction cubic inches

The answer to your question is Volume = (1/3)(x²)(x + 2)

Step-by-step explanation:

Data

length = x

height = x + 2

Volume = ?

Formula

Volume = 1/3Ab h

Process

1.- Calculate Ab

Ab = length x length

-Substitution

     = (x)(x)

-Simplification

     = x²

2.- Substitution

Volume = (1/3)(x²)(x + 2) or (1/3)(x³ + 2x²)

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

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step-by-step explanation: