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Prism Calculator

Use this online calculator to calculate the properties of a prism, choose to calculate a Triangular or Rectangular prism properties and then enter the known measurements to calculate associated dimensions and volume of a prism.

Prism Calculator
Prism Calculator Results (detailed calculations and formula below)
Traingular Prism Results, Calculations and formula
The Base Area (Ab) of a triangular prism is
The Lateral Surface (AL) of a triangular prism is
The Surface Area (As) of a triangular prism is
The Volume (V) of a triangular prism is
Triangular Prism Base Area Formula and Calculations
Ab = 2a/b
Ab = 2 × /
Ab = 2 ×
Ab =
Triangular Prism Lateral Surface Formula and Calculations
AL = (a + b + c) × h
AL = ( + + ) ×
AL = ×
AL =
Triangular Prism Surface Area Formula and Calculations
As = Ab + AL
As = +
As =
Triangular Prism Volume Formula and Calculations
V = 1/4h × √-a4 + 2(ab)2 + 2(ac)2 - b4 + 2(bc)2 - c4
V = (1/4 × ) × √-4 + 2( × )2 + 2( × )2 - 4 + 2( × )2 - 4
V = × √- + 2()2 + 2()2 - + 2()2 -
V = × √- + (2 × ) + (2 × ) - + (2 × ) -
V = × √- + + - + -
V = × √
V = ×
V =
Rectangular Prism Results, Calculations and formula
The Diagonal (d) of a rectangular prism is
The Surface Area (As) of a rectangular prism is
The Volume (V) Area of a rectangular prism is
Rectangular Prism Diagonal Formula and Calculations
d = √l2 + h2 + w2
d = √2 + 2 + 2
d = √ + +
d = √
d =
Rectangular Prism Surface Area Formula and Calculations
As = 2 × (l × w) + (w × h) + (l × h)
As = 2 × ( × ) + ( × ) + ( × )
As = 2 × + +
As = 2 ×
As =
Rectangular Prism Volume Formula and Calculations
V = l × w × h
V = × ×
V =
Prism Calculator Calculator Input Values
Traingular Prism Side a (a) =
Traingular Prism Side b [base] (b) =
Traingular Prism Side c (c) =
Traingular Prism Height (h) =
Rectangular Prism Length (l) =
Rectangular Prism Width (w) =
Rectangular Prism Height (h) =

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Prism Calculator. This image shows the properties and formula for the Prism Calculator

The Math Basics You Need to Know About Prism Calculators

Have you ever wondered how difficult it would have been for humans to perform calculations if calculators were not invented? Imagine how it would have felt to search for an answer to the same question, exploring different formula and not finding the solution, again and again? Fortunately, due to the power of the human brain and computer science we can avoid these circumstances as we are blessed with calculators. We owe, in recent times, Charles Babbage (Inventor of the Difference Engine, the first mechanical computer, completed in 1832) and Sir Clive Sinclair (produced the first slim-line pocket calculator in 1972) a great debt, though the history of the calculator has come along way since the time on the Sumerian Abacus (which provided basic addition and subtraction from 2700BC onwards). In more modern times, online calculators have changed the landscape of calculators, generic calculators designed for input of formula and equations have been replaced by the custom fee online calculators designed by iCalculator. Complex calculations are now replaced by bespoke online calculators which simply require the input of known properties, formula and property associated property calculations are automatic and produce the most accurate solutions in the very first attempt.

Let's consider the prism. We encounter numerous shapes in our daily routine, of which the prism is an essential and quite attractive shape. What if we were asked to find out the volume or surface area of each of that shape? It would have been the most difficult task for us if we did not have access to iCalculators online math calculators.

The Prism calculator is one such tool with the help of which you can perform numerous calculations related to a prism within seconds. Let us review more information about similar shapes, their properties and their calculations.

How do we define a prism?

A prism is a 3-D solid having two congruent and parallel faces, where any cross-section which is parallel to those faces is also congruent to them. The two faces of the prism are known as its bases. If we take any cross-section of a prism which is parallel to those bases then that cross-section will look just like those bases.

The naming of a prism

A prism is named after the shape of its base. In case, if the base of a prism is of rectangular shape then the prism is known as a rectangular prism. Similarly, the other types of prisms such as a triangular prism, cubes, hexagonal prisms, and pentagonal prisms got their names after the shape of their bases.

Different types of calculations related to a prism: The formula for calculating the area and volume of a prism is as follows-

Area of a Prism

Area= 2 × A + P × h

Where

  1. A is the area of the base,
  2. P is the perimeter of the base,
  3. And h is the height of the prism.

Volume of a prism

V = A × h

Where

  1. V is the volume
  2. A is the area of the base
  3. And h is the height of the prism

Different types of prisms and their properties

Prisms are of numerous types depending on the shape of their bases. Here are some of the most important and common prisms that we get to see every day:

Rectangular prism

A Rectangular prism is a prism that has 6 rectangular bases:

  1. It contains 6 faces
  2. All the faces of this prism meet each other at right angles (90 degrees)
  3. Opposite faces are parallel to each other

Cube

A Cube a prism having 6 congruent faces:

  1. Opposite faces are parallel to each other
  2. All the faces also meet each other at 90 degrees

Triangular prism

A Triangular prism is a type of prism having a triangular base:

  1. Only the bases are parallel to each other

Octagonal prism

A Octagonal prism is a type of prism having octagons as its bases:

  1. In this type of prism, opposite faces are parallel to each other

Importance of prisms in everyday life

We come across numerous prisms in our daily life but don't notice the shapes much due to our lack of attention. If we draw a little attention towards our surroundings, we find a lot of examples of prisms, like, roofs on a house, the ice cubes in our refrigerator, the aquarium in our house, the nuts and bolts, all of them are a prism. The best example of a prism is the one you come across in your physics lab at your school or college. If you are asked to find the volume or area of the aquarium at your house or the prism you are using at your school, it would be a difficult task for you to do manually. In order to save your time and unnecessary efforts, the prism calculator are the best option available to you.

With the help of this simple user interface that addresses the problem solving related to a prism, you can get your solutions within seconds. The only thing you have to do is fill the required fields such as the prism height, base, and length in the online prism calculator and get instant answers as you type.

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