Question

How will the volume of the pyramid change if each side is multiplied by a factor of 5?​

Answer 1

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 $=\frac{\text {length} \times \text { breadth } \times \text {height}}{3}$

Now, each dimension is multiplied by factor of 5.

Then, volume of new pyramid $=\frac{(5 \times l e n g t h) \times(5 \times \text { breadth) } \times(5 \times \text { height })}{3}$

$=5 \times 5 \times 5 \times \frac{\text { length } \times \text {breadth\timesheight}}{3}$

Volume of new pyramid = 125 $\times$ volume of old pyramid.

Hence, the volume of the pyramid is changed by a factor of 125.