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Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid. Check FAQs
TSA=(2⋅le(Base)⋅hslant)+le(Base)2
TSA - Total Surface Area of Square Pyramid?le(Base) - Edge Length of Base of Square Pyramid?hslant - Slant Height of Square Pyramid?

Total Surface Area of Square Pyramid given Slant Height Example

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Here is how the Total Surface Area of Square Pyramid given Slant Height equation looks like with Values.

Here is how the Total Surface Area of Square Pyramid given Slant Height equation looks like with Units.

Here is how the Total Surface Area of Square Pyramid given Slant Height equation looks like.

420Edit=(2⋅10Edit⋅16Edit)+10Edit2
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Total Surface Area of Square Pyramid given Slant Height Solution

Follow our step by step solution on how to calculate Total Surface Area of Square Pyramid given Slant Height?

FIRST Step Consider the formula
TSA=(2⋅le(Base)⋅hslant)+le(Base)2
Next Step Substitute values of Variables
∴ TSA=(2⋅10m⋅16m)+10m2
Next Step Prepare to Evaluate
∴ TSA=(2⋅10⋅16)+102
LAST Step Evaluate
∴TSA=420m²

Total Surface Area of Square Pyramid given Slant Height Formula Elements

Variables
Total Surface Area of Square Pyramid
Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area of Square PyramidOpen Variable
Edge Length of Base of Square Pyramid
Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.
Symbol: le(Base)
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Edge Length of Base of Square PyramidOpen Variable
Slant Height of Square Pyramid
Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.
Symbol: hslant
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Slant Height of Square PyramidOpen Variable

Other Formulas to find Total Surface Area of Square Pyramid

​Go Total Surface Area of Square Pyramid
TSA=le(Base)2+(le(Base)⋅(4⋅h2)+le(Base)2)

Other formulas in Surface Area of Square Pyramid category

​Go Lateral Edge Length of Square Pyramid
le(Lateral)=le(Base)22+h2
​Go Slant Height of Square Pyramid
hslant=le(Base)24+h2
​Go Base Area of Square Pyramid
ABase=le(Base)2
​Go Base Angle of Square Pyramid
∠Base=arccos((le(Base)2)2+hslant2-h2le(Base)⋅hslant)

How to Evaluate Total Surface Area of Square Pyramid given Slant Height?

Total Surface Area of Square Pyramid given Slant Height evaluator uses Total Surface Area of Square Pyramid = (2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2 to evaluate the Total Surface Area of Square Pyramid, Total Surface Area of Square Pyramid given Slant Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid and is calculated using the slant height of the Square Pyramid. Total Surface Area of Square Pyramid is denoted by TSA symbol.

How to evaluate Total Surface Area of Square Pyramid given Slant Height using this online evaluator? To use this online evaluator for Total Surface Area of Square Pyramid given Slant Height, enter Edge Length of Base of Square Pyramid (le(Base)) & Slant Height of Square Pyramid (hslant) and hit the calculate button.

FAQs on Total Surface Area of Square Pyramid given Slant Height

What is the formula to find Total Surface Area of Square Pyramid given Slant Height?
The formula of Total Surface Area of Square Pyramid given Slant Height is expressed as Total Surface Area of Square Pyramid = (2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2. Here is an example- 420 = (2*10*16)+10^2.
How to calculate Total Surface Area of Square Pyramid given Slant Height?
With Edge Length of Base of Square Pyramid (le(Base)) & Slant Height of Square Pyramid (hslant) we can find Total Surface Area of Square Pyramid given Slant Height using the formula - Total Surface Area of Square Pyramid = (2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2.
What are the other ways to Calculate Total Surface Area of Square Pyramid?
Here are the different ways to Calculate Total Surface Area of Square Pyramid-
  • Total Surface Area of Square Pyramid=Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Height of Square Pyramid^2)+Edge Length of Base of Square Pyramid^2))OpenImg
Can the Total Surface Area of Square Pyramid given Slant Height be negative?
No, the Total Surface Area of Square Pyramid given Slant Height, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Square Pyramid given Slant Height?
Total Surface Area of Square Pyramid given Slant Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Square Pyramid given Slant Height can be measured.
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