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You are making a sculpture that is a pyramid with a square base. You want the height of the pyramid to be 4 inches less than the length of a side of the base. You want the volume of the sculpture to be 200 cubic inches.Write a function that gives the volume V of the sculpture in terms of x.

Respuesta :

Answer:

V = x^3/3 - 4x^2/3

Step-by-step explanation:

The height of the pyramid is 4 inch less than the length of the side of the bar.

Let the length = x

Volume of the sculpture = 200 cubic inches

Volume of a pyramid = 1/3Bh

B= base area of the pyramid

h = height of the pyramid

B= x^2(since the base of the pyramid is a square)

h = x - 4

Put B = x^2 and h = x - 4 into the formula V= 1/3Bh

V = 1/3(x^2)(x - 4)

V = 1/3 (x^3 - 4x^2)

V = x^3/3 - 4x^2/3

This is the function that gives the volume of V in terms of x

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