Surface Area of a Square Pyramid Calculator
If you are a mathematics student and exploring the geometrical chapters, you must have seen problems related to the square pyramid. These problems are considered the most difficult because of the involvement of multiple sides, measurements, and complex shapes. Don’t worry if you are struggling while solving these questions.
This surface area of a square pyramid calculator can assist you in this regard and let you have the final answer with accuracy. It is an online maths calculator that has been programmed well to use your input values and find the surface area of a particular square pyramid. From this page, you can learn about this measurement and how to use the calculator.
Table of Contents
What is Surface Area?
The surface area is actually the region that is covered by plane sides of any figure, object, or shape. In simple words, if you have a square block, the surface area is the region that comes under its boundaries.
It is a two-dimensional measurement that involves only length and width. We can also say that surface area belongs to only 2D shapes and objects. The unit of surface area will be the square of the unit in which the measurements have been given.
What is the surface area of a square pyramid?
Before understanding the surface area of a square pyramid, you should understand what this figure is. A pyramid is a specific shape that is considered overall three-dimension with a specific height, width, and length.
A square pyramid is a particular type of pyramid that has a base of a square shape. It means that the base of the pyramid will be of square shape i.e. all sides of the base will be equal. Let’s move to the actual definition of the surface area of a square pyramid.
It is the area covered by the base of the pyramid and one of its side lengths. The surface area of a square pyramid is the region that is covered by the base and its one side. That’s why, its calculation involves only the base length and a side length.
What is the formula for the surface area of a square pyramid?
The formula for the surface area of a square pyramid calculation is simple. Here is the formula you have to follow:
The surface area of a square pyramid = 2bs + b2
Here:
- “b” represents the base length.
- “s” represents the side length.
How to find the surface area of a square pyramid?
To find this measurement, you only have to put the values in the above formula. Here is a solved example to let you understand the process properly.
Example 1:
Find the surface area of a square pyramid if its base length is 5m and its side length is 9m.
Solution:
We know that
Surface area of a square pyramid = 2bs + b2
So, we have to put the values in this formula only.
Surface area of a square pyramid = 2(5)(9) + (5)2 sq. meter
= 90 + 25 Sq. meters
= 115 Sq. meters
How to use the surface area of a square pyramid calculator?
If you are feeling it difficult to solve such problems manually, you should follow these steps to use this tool by Calculator’s Bag.
- Write the base length in the first input box
- Write the side length in the second input box
- This calculator will automatically show you the measurement for the surface area of that pyramid.
FAQ | Surface Area of a Square Pyramid Calculator
What is a square pyramid?
A pyramid that has its base of a square shape is called a square pyramid.
What is the difference between a square pyramid and a rectangular pyramid?
The only difference between these types of pyramids is the base shape. A square pyramid has a base with a square square while a rectangular pyramid has a base of a rectangular shape.
What is the total surface area of the pyramid?
The total surface area of a pyramid is the entire region covered by its plane sides.
Is the surface area of the pyramid the same as the volume?
No, the surface area belongs to two dimensions while the volume belongs to three dimensions of the pyramid.
What units do you use for the surface area of a pyramid?
The units for the surface area of a pyramid are squares of the units in which the measurements have been done.
What is the easiest way to find the surface area of a pyramid?
The easiest way to find the surface area of a pyramid is by using a calculator like given above.
