Pyramid Calculator
Pyramids are defined as three-dimensional solid shapes. They have a polygon as their base and triangular faces that meet at the apex (vertex).
What is a Pyramid Calculator?
'Pyramid Calculator' is an online tool that helps to calculate the surface area and volume of the square pyramid. Online Pyramid Calculator helps you to calculate the surface area and volume of the square pyramid in a few seconds.
Pyramid Calculator
How to Use a Pyramid Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to calculate the surface area and volume of the square pyramid.
- Step 2: Enter the values in the given input box.
- Step 3: Click on the "Calculate" button to find the surface area and volume of the square pyramid.
- Step 4: Click on the "Reset" button to clear the field and enter the new values.
How to Find a Pyramid Calculator?
A square pyramid is defined as a three-dimensional solid figure with a square base and four triangular faces /sides that meet at a point.
The surface area of the square pyramid is defined as the amount of space enclosed within the boundary of a square pyramid. It is measured in square units. The formula to calculate the surface area of the square pyramid is given by
Surface Area of the Square Pyramid = (2 × b × s) + b2
Where 'b' is the edge length of the base, and 'h' is the slant height of the square pyramid
The volume of the square pyramid is the capacity of the square pyramid or the measure of the amount of space it occupies. It is measured in cubic units. The formula to calculate the volume of the square pyramid is given by
The volume of a square pyramid(V) = 1/3 × a2 × h
Where 'a' is base side length and 'h' is the height
Solved Examples on Pyramid Calculator
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Example1:
Find the surface area of a square pyramid having a slant height of 4 units and a base is 3 unitsSolution :
Surface area of a square pyramid = (2 × b × s) + b2
= ( 2 × 3 × 4) + 32
= 24 + 9
= 33 square units.
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Example2:
Find the volume of a square pyramid with base sides of 6 units and a height of 8 units.
Solution:
The volume of a square pyramid(V) = 1/3 × a2 × h
= 1/3 × 62 × 8
= 1/3 × 36 × 8
= 96 cubic units
Similarly, you can try the calculator to find the surface area and volume of a square pyramid:
- Find the surface area of the square pyramid if the slant height is 20 units and the base is 20 units.
- Find the volume of a square pyramid if the length of a side is 8 units and height is 15 units
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