6 om A sculptor chisels amay at the marble to make a pyramid with the same base dimensions but one for the volume of the original What is the tegut the payamid

The height of the pyramid is 2cm

Step-by-step explanation:

From the complete question, we have:

Marble Dimension:

Pyramid

Volume = 1/4th of the volume of the marble

Required

The height of the pyramid

First, calculate the volume of the Marble

So:

Calculate the volume of the Pyramid

From the question, we understand that:

So, we have:

Solve for h

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

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