Answered

How will the volume of the pyramid change if each side is multiplied by a factor of one-half? a rectangular pyramid. the volume will be 2 times the original volume. the volume will be 8 times the original volume. the volume will be one-fourth times the volume. the volume will be one-eighth times the volume.

Answer :

MrRoyal

The volume will be one-eighth times the volume.

How to determine the volume?

The scale factor k is given as

k = 1/2

Let the initial volume be v

When each side is multiplied by the scale factor, we have the new volume to be

V = k^3 * v

Substitute 1/2 for k in the above equation

V = (1/2)^3 *v

Evaluate the exponent

V = 1/8 *v

This gives

V = 1/8v

Hence, the volume will be one-eighth times the volume.

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