Pyramid Base, Lateral Surface, Surface Area & Volume Calculator, Formulas & Solved Example



Pyramid Calculator



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pyramid calculator - step by step calculation, formula & solved example problem to find the total base area, total volume, lateral surface area, total surface area & slanting height in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, pyramid is a solid or hallow shape with a square base and sloping sides that meet in a point at the top. The pyramid formulas, solved example & step by step calculations may useful for users to understand how the input values are being used in such calculations. Also this featured pyramid calculator uses the various conversion functions to find its volume in SI or metric or US customary units.

Pyramid & its Formulas

The following mathematical formulas are used in this pyramid calculator to find the volume & the base, total & lateral surface area of a pyramid for the given base base & height values.

formula to find base area, volume, surface area, lateral surface, slanting height of a pyramid

Solved Example

The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the volume & the base, total & lateral surface area of a pyramid for the given base & height values.

Example Problem :
Find the volume & the base, total & lateral surface area of a pyramid having the base & height of 15 cm & 9 cm respectively?

Solution :
The given values
base B = 15 cm
height h = 9 cm

Step by step calculation
formula to find volume = (1/3) B h
= (1/3) x base area x height
= 675 cm3

formula to find base surface area = B + (1/2) P l
= base area + [(1/2) x perimeter of base x slant height]
= 576.46 cm2

The volume, slant height & the base, total & lateral surface area of a pyramid may required to be calculated in SI or metric or US customary unit systems, therefore this pyramid calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.

10 mm = 1 cm
100 mm = 3.93 in
1000 mm = 3.28 ft
1000 mm = 1 m
1 cm = 10 mm
10 cm = 3.93 in
100 cm = 3.28 ft
100 cm = 1 m
1 ft = 3048 mm
1 ft = 304.8 cm
1 ft = 12 in
10 ft = 3.048 m
1 in = 25.4 mm
1 in = 2.54 cm
100 in = 8.33 ft
100 in = 2.54 m

In the field of area & volume calculations, finding the volume, slant height & the base, total & lateral surface area of a pyramid is important to understand basic mathematical computations. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate pyramid's volume, slant height & the base, total & lateral surface area manually, however, when it comes to online to perform quick calculations, this pyramid calculator may be useful to find the results.



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