Answer:
If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.
Step-by-step explanation:
A rectangular pyramid has the following dimensions:
length(l), height(h) and width(w)
The volume is:
[tex]V = \frac{l*h*w}{3}[/tex]
If all the dimensions of the rectangular pyramid are multiplied by 1/5
Then we have that:
[tex]l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}[/tex]
The modified volume will be:
[tex]V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}[/tex]
So
If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.
