Question

Hurry please! The volume of a right square pyramid is 7 yd.. If the lengths of the sides of the base are multiplied by 5 and the height does not change, what is the volume of the new pyramid?

A.25 yd.
B.35 yd.
C.125 yd.
D.175 yd.

Answer 1

D

Explanation:

Answer 2

Volume of the new pyramid is 175 yd.

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 =
`a^2(h)/(3)`

Where

a is the base edge length

h id the Height of the prism

Now the length of the original prism is

`a^2(h)/(3) = 7`

When the side of the prism is multiplied by 5, we get

=>
`5^2(a^2 (h)/(3))`

=>
`5^2(7)`

=>
`25(7)`

=>
`175`