I am only needing help on figuring out how to calculate the height, base, total surface area, and volume of a square pyramid. How do I put them down as calculations in Python programming? Any guidance would be very much appreciated!

Problem:

Write a program to calculate the surface area and volume of a square pyramid.

A square pyramid has a base that is square, and all triangle faces are congruent isosceles triangles. $($An isosceles triangle is a triangle in which two of the sides are equal.$)$ Here is a picture of a square pyramid, and one that shows various labeled lines.

Length of the base: a

Height of the pyramid: h

Volume $=$ a$2$h$/3$

Slant height, s $=$ sqrt$($h$2+($a$/2)2)$ This is the

Pythagorean Theorem part.

Area of one pyramid side $=$ s$*$a$/2$

For this program you are to determine two things about a square pyramid, $1)$ the surface area of the four sides, and $2)$ the volume. Do not include the surface area of the base.

$10$ pts TEST CASES:

Attach a separate document $($word or excel will do$)$ that shows your hand calculations for the surface area and volume of these two pyramids:

#$1$: Height: $5\mathrm{.}0$ Base: $2\mathrm{.}5$

#$2$: Height: $2\mathrm{.}5$ Base: $4\mathrm{.}3$

#$3$: Height: $3$ Base: $8$

Show your work, not just the results. Use these test cases to test your program and verify it is returning the correct results.

Program:

Be sure that your program output is neatly presented to the user.

The program asks the user to enter the pyramid height $($in feet$)$ and length of the base $($in feet$).$

Your program will need to determine the surface area of the faces by using the Pythagorean theorem. The formulas are in the box above.

Your output must neatly show the height, base, total surface area, and volume of the pyramid using $3$ decimal places of accuracy for all values.