The standard formula for the volume of a rectangular pyramid is . if the pyramid is scaled proportionally by a factor of k, its volume becomes v' = v × k3. use your algebra skills to derive the steps that lead from to v' = v × k3 for a scaled rectangular pyramid. show your work.

The answer in the procedure

Step-by-step explanation:

we know that

The volume of a rectangular pyramid is equal to

where

L is the length of the rectangular base

W is the width of the rectangular base

H is the height of the pyramid

If the pyramid is scaled proportionally by a factor of k

then

the new dimensions are

L=kL

W=kW

H=kH

substitute and find the new Volume V'

The new volume is equal to the scale factor k elevated to the cube multiplied by the original volume

c

step-by-step explanation: