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Prism Calculator
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Prism Calculator is used to find the area of base, perimeter of base, surface area and volume for triangular and rectangular prism.

Triangular prism can be defined as a three-sided prism.
Triangular Prism
Rectangular Prism is a 3-dimensional figure that has a 6 sided prism made up of 3 pairs of congruent rectangles.

Rectangular Prism
 

Step by Step Calculation

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Step 1 :  

Triangular Prism Formulas




Area of Base = $\frac{1}{2}$ * a * b

Perimeter of Base = S1 + S2 + S3

Surface Area of Prism = a * b + (S1 + S2 + S3) * h

Volume of Prism = $\frac{1}{2}$ * a * b * h

Where

a = altitude

b = base

h = height

S1, S2 and S3 are sides




Rectangular Prism Formulas




Area of Base = l * w

Perimeter of Base = (2*l+2*w)

Surface area of prism = (2*(l*w)+(2*l+2*w)*h)

Volume of Prism = l * w * h

Diagonal of prism = $\sqrt{l^{2}+w^{2}+h^{2}}$

Where,

l = length

w = width

h = height



Step 2 :  

Put the values in the formula and calculate it further.



Example Problems

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  1. If the altitude of triangular prism is 4 cm, base is 5 cm, height is 7 cm and whose sides are equilateral 3 cm. Find the area of base, perimeter of base, surface area of prism and volume of prism.


    Step 1 :  

    Given


    S1 = S2 = S3 = 3 cm

    a = 4 cm

    b = 5 cm

    h = 7 cm


    Formulas


    Area of Base = $\frac{1}{2}$ * a * b

    Perimeter of Base = S1 + S2 + S3

    Surface Area of Prism = a*b + (S1 + S2 + S3)*h

    Volume of Prism = $\frac{1}{2}$ * a * b * h



    Step 2 :  

    Area of base = 0.5 * 4 * 5

                 = 10 cm2




    Perimeter of base = 3 + 3 + 3

                      = 9 cm




    Surface area of prism = 4 * 5 + (3 + 3 + 3) * 7

                          = 83 cm2




    Volume of prism = 0.5 * 4 * 5 * 7

                    = 70 cm3



    Answer  :  

    Area of Base = 10 cm2



    Perimeter of Base = 9 cm



    Surface Area of Prism = 83 cm2



    Volume of Prism = 70 cm3



  2. If the rectangular prism is having a length 8 cm, width 6 cm and height 11 cm. Find area of base, perimeter of base, surface area of prism, volume of prism, diagonal of prism ?


    Step 1 :  

    Given:




    l = 8 cm

    w = 6 cm

    h = 11 cm

    Area of Base = l * w

    Perimeter of Base = (2*l+2*w)

    Surface area of prism = (2*(l*w)+(2*l+2*w)*h)

    Volume of Prism = l * w * h

    Diagonal of prism = $\sqrt{l^{2}+w^{2}+h^{2}}$



    Step 2 :  


    Put the values in the formula and calculate it further.




    Area of base = 8 * 6




                 = 48 cm2




    Perimeter of base = (2 * 8 + 2 * 6)




                      = (16 + 12)




                      = 28 cm




    Surface area of prism = (2*(8 * 6) + (2 * 8 + 2 * 6) * 11)




                          = 404 cm2




    Volume of Prism = 8 * 6 * 11




                    = 528 cm3




    Diagonal of prism = $\sqrt{8^{2} * 6^{2} * 11^{2}}$




                      = 14.86 cm2



    Answer  :  

    Area of Base = 48 cm2

    Perimeter of Base = 28 cm

    Surface Area of Prism = 404 cm2

    Volume of Prism = 528 cm3

    Diagonal of Prism = 14.86 cm2



More Prism Calculator
Surface Area of a Prism Calculator Volume of a Triangular Prism Calculator
Volume of a Rectangular Prism Calculator
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