Answer:
Volume of the new pyramid is 175 yd.
Step-by-step explanation:
Given:
Volume of the right square pyramid = 7 yd
Lengths of the sides of the base are multiplied by 5
Height remains same
To Find:
The volume of the new pyramid = ?
Solution:
We Know that volume of right square pyramid is
V = [tex]a^2\frac{h}{3}[/tex]
Where
a is the base edge length
h id the Height of the prism
Now the length of the original prism is
[tex]a^2\frac{h}{3} = 7[/tex]
When the side of the prism is multiplied by 5, we get
=>[tex]5^2(a^2 \frac{h}{3})[/tex]
=>[tex]5^2(7)[/tex]
=>[tex]25(7)[/tex]
=>[tex]175[/tex]
