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Pyramid Calculator
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Pyramid Calculator is used to area of base, surface area and volume for triangular and square pyramid.

Triangular pyramid is one type of three dimensional figure. It has a four vertices. Three vertices are at the base of pyramid and another vertex is on top. Vertices are nothing, its a corner points of the pyramid.

Square pyramid is one type of three dimensional figure. Depending upon the base shape of pyramid, the name of the pyramid will be varied. For example, if the base of the pyramid is a square shape, that pyramid is know as square pyramid.

## Step by Step Calculation

Step 1 :

Square Pyramid Formula:

Area of Square Base = s2

Surface Area of Square Pyramid = s2 + 2sl

Volume of Square Pyramid = $\frac{1}{3}$ b2h

Where,

s (b) = side length

l = slant height

h = height

Triangular Pyramid Formula:

Area of Triangular Base = $\frac{1}{2}$ as

Surface Area of Triangular Pyramid = $\frac{1}{2}$as + $\frac{3}{2}$ sl

Volume of Triangular Pyramid = $\frac{1}{6}$ abh

Where,

a = apothem

s = side length

l = slant height

h = height

Step 2 :

Put the values in the formula and calculate it further.

## Example Problems

1. ### Square pyramid is having side length 5 cm, height 7 cm and slant height 6 cm. Find the area of base, volume and surface area of square pyramid.

Step 1 :

Given:

s = 5 cm

h = 7 cm

l = 6 cm

Square Pyramid Formula:

Area of Base = s2

Surface Area of Square Pyramid = s2 + 2sl

Volume of Square Pyramid = $\frac{1}{3}$ b2h

Step 2 :

Put the values in the formula and calculate it further.

Area of Square Base = 52 cm

= 25 cm2

Surface Area of Square Pyramid = 52 + 2 * 5 * 6

= 25 + 60

= 85 cm2

Volume of Square Pyramid = $\frac{1}{3}$ 52 * 7

= 58.33 cm3

Area of Square Base = 25 cm2

Surface Area of Square Pyramid = 85 cm2

Volume of Square Pyramid = 58.333 cm3

2. ### Triangular Pyramid has height 8 cm, slant height 6 cm, apothem 7 cm and side length is 5 cm. Calculate Area of base, surface area and volume of triangular pyramid.

Step 1 :

Given:

s = 5 cm

l = 6 cm

a = 7 cm

h = 8 cm

Triangular Pyramid Formula:

Area of Triangular Base = $\frac{1}{2}$ as

Surface Area of Triangular Pyramid = $\frac{1}{2}$as + $\frac{3}{2}$ sl

Volume of Triangular Pyramid = $\frac{1}{6}$ abh

Step 2 :

Put the values in the formula and calculate it further.

Area of Triangular Base = $\frac{1}{2}$ * 5 * 7

= 17.5 cm2

Surface Area of Triangular Pyramid = $\frac{1}{2}$ * 5 * 7 + $\frac{3}{2}$ * 5 * 6

= 62.5 cm2

Volume of Triangular Pyramid = $\frac{1}{6}$ * 7 * 6 * 8

= 56 cm3

Area of Triangular Base = 17.5 cm2

Surface Area of Triangular Pyramid = 62.5 cm2

Volume of Triangular Pyramid = 56 cm3

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