The formula for the volume of a square pyramidis
v=6h) - 3, where b is the length of one side of the
square base and h is the height of the pyramid. find the
length of a side of the base of a square pyramid that has
a height of 3 inches and a volume of 25 cubic inches.
show your work.

5 inches

Step-by-step explanation:

The volume is basically

Volume = area of base * height

For pyramid, that area would be  

Since, this is square pyramid, the base is a square with side length b, so the area would be  

Let height be h

Thus, we can write the formula for volume of square pyramid as:

Volume =

Where

b is side length of base square

h is height of pyramid

Now, given h = 3 and v = 25, we need to find b. let's substitute and figure it out using the formula:

Hence

the side length of the base of the square pyramid is 5 inches

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "