The volume of the pyramid is changed by a factor of 125
Solution:
Given that, each side of a pyramid is multiplied by a factor of 5.
We have to find how will the volume of the pyramid changes?
Now, we know that, volume of a pyramid [tex]=\frac{\text {length} \times \text { breadth } \times \text {height}}{3}[/tex]
Now, each dimension is multiplied by factor of 5.
Then, volume of new pyramid [tex]=\frac{(5 \times l e n g t h) \times(5 \times \text { breadth) } \times(5 \times \text { height })}{3}[/tex]
[tex]=5 \times 5 \times 5 \times \frac{\text { length } \times \text {breadth\timesheight}}{3}[/tex]
Volume of new pyramid = 125 [tex]\times[/tex] volume of old pyramid.
Hence, the volume of the pyramid is changed by a factor of 125.
