You really can't "prove" the formula. You use it. You first square the base 'b'. Then, you multiply that number by the height 'h'. Then, you divide the product of the base squared and height by 3. Boom! You get your answer. In my school, we get a formula sheet with all the formulas we will need to use. If you didn't understand the description above, here is the formula for a square pyramid:1/3b2 h.
Hope this helped!
To prove that a quadrilateral is a square using the section formula, calculate the midpoints of the diagonals. If the midpoints of both diagonals are the same, the diagonals bisect each other, indicating a parallelogram. Next, verify that all sides are equal by calculating the lengths of each side using the distance formula. Lastly, confirm that the diagonals are equal in length and perpendicular, which is characteristic of a square.
For example, you can take a look at the Pythagorean formula: c = square root of (a2 + b2).
It is not possible to prove something that is not true. The square of 2 is rational, not irrational.
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
The volume of a cylinder is the area of its base's area times the height (you will prove this in Calculus). Thus the formula you need to use is: pi * radius^2 * height. I will let you do your own homework from there.
This is easiest done with integral calculus. The basic idea is to divide the pyramid into lots of thin, flat, parallel slabs, calculate the volume of each, and add it up.
To prove that a quadrilateral is a square using the section formula, calculate the midpoints of the diagonals. If the midpoints of both diagonals are the same, the diagonals bisect each other, indicating a parallelogram. Next, verify that all sides are equal by calculating the lengths of each side using the distance formula. Lastly, confirm that the diagonals are equal in length and perpendicular, which is characteristic of a square.
Surface area of a hollow cylinder = 2*pi*radius*length measured in square units.
This is impossible to prove, as the square root of 2 is irrational.
For example, you can take a look at the Pythagorean formula: c = square root of (a2 + b2).
It is not possible to prove something that is not true. The square of 2 is rational, not irrational.
The formula for the area of a rectangle is length x breadth. In order to prove this works, work out an area of a rectangle using that formula.
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
927,742. And I challange anyone to PROVE me wrong.
The volume of a cylinder is the area of its base's area times the height (you will prove this in Calculus). Thus the formula you need to use is: pi * radius^2 * height. I will let you do your own homework from there.
its half a square and a square is 360
You can use the distance formula to show that all four sides are the same length. The shape must, therefore, be a rhombus or square. If you then show that the length of the diagonal is sqrt(2) times the length of the side then, by Pythagoras, the diagonal and sides from a right angled triangle. The shape must, therefore, be a square.