The height of a pyramid is 15 inches. the pyramid's base is a square with a side of 5 inches. what is the pyramid's volume?

The pyramid's volume is

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

where

B is the area of  base of pyramid

h is the height of the pyramid

Find the area of the base B

-----> is a square

substitute the values

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .