The surface area of a pyramid can be found by adding the base area to the face area.If you know how to locate the base of the pyramid, you can use a formula to find the surface area.It's important to know how to find the area of shapes such as pentagons and hexagons since the base can be any shape.If you know the side length and slant of the square base, you can easily calculate the total surface area.
Step 1: The formula for the surface area of a pyramid should be set.
The formula is based on the total surface area of the pyramid and the perimeter.The basic formula for the surface area of any pyramid, regular or irregular, is Total Surface Area.The height is the distance from the top of the pyramid to the base.The height is the distance from the edge to the base.
Step 2: The base's perimeter should be plugged into the formula.
If you don't know the length of one edge of the base, you can use the number of edges to calculate the perimeter.If you know that the length of one edge of the base is 4 cm, you can use 46 to find the perimeter.The perimeter of the base is 24 cm, so your surface area formula will look like this.
Step 3: The value of the slant height should be plugged into the formula.
Make sure you are using the slant height.The slant height should be provided by the problem.The method cannot be used if you don't know the slant height.If the slant height of a hexagonal pyramid is 12 cm, your formula will look like this.
Step 4: The area of the base is calculated.
The shape of the base will affect how you do this.Find the Area of Regular Polygons is a good place to start learning about the area of a polygon.The base of a hexagonal pyramid is called a hexagon.You can find out how to calculate the area of the base by reading the book.The length of one side of the hexagon is displayed in the formula.The length of one side of the hexagon is four cm.
Step 5: The area of the base should be plugged into the formula.
Substitute for the variable BdisplaystyleB.The hexagonal base has an area of 41.57 sq.The formula for the surface area will now look like this.
Step 6: The perimeter and slant of the pyramid can be calculated.
Divide by two.This will allow you to see the rest of the pyramid.SA is defined as the number of times 122+41.57SA.
Step 7: Add the two values together.
The total surface area for the pyramid will be shown in square units.A hexagonal pyramid has a base edge length of 4 cm and a slant height of 12 cm.
Step 8: There is a formula for the surface area of a square pyramid.
The length of one side of the base is taken into account when calculating the formula.The "slant height" is the distance from the top of the pyramid to the base.The height is the distance from the top to the bottom.This formula is just another way of writing the total surface area.The formula only works for regular square pyramids.
Step 9: The values for the side length and slant height should be plugged into the formula.
The side length of the base should be replaced with a slant height for hdisplaystyle.The formula will look like this if the length of one side of the pyramid is 4 cm and the slant height is 12 cm.
Step 10: There is a side length to the base.
The surface area of the base is given here.SA=42+4 is a display style.
Step 11: Divide the side length of the base by two.
Then, add up by 4.The pyramid's surface area will be given by this.SA=16+4 is a displaystyle for example.
Step 12: Add the base surface area.
The total surface area of the pyramid will be shown in square units.The total surface area of a square pyramid with a base side length of 4 cm and a slant height of 12 cm is 112 square centimeters.