Surface Area of Square Pyramid Calculator

Edge Length

Height

Surface Area of Square Pyramid Calculator

Looking for a fast and reliable way to calculate the surface area of a square pyramid? Our Square Pyramid Surface Area Calculator makes it simple. Just enter the edge length and height, and the calculator instantly computes the slant height and provides the total surface area. This tool is perfect for students, teachers, architects, engineers, and anyone working with pyramid-shaped structures.

What is the Surface Area of a Square Pyramid?

A square pyramid is a three-dimensional shape with a square base and four triangular faces that meet at a single apex. The surface area of a square pyramid is the total area of its base plus the area of its four triangular sides.
Formula: TSA = a² + 2a × l Where: a = base edge length h = vertical height l = slant height = √((a/2)² + h²)

👉 The calculator uses this formula to quickly find the total surface area.

How Does the Square Pyramid Surface Area Calculator Work?

• Enter the edge length (a) of the square base. • Enter the height (h) of the pyramid. • The calculator automatically finds the slant height (l) using: l = √((a/2)² + h²). • It then applies the formula a² + 2a × l. • The total surface area is displayed instantly.

This ensures quick and error-free results.

Examples of Square Pyramid Surface Area Calculations

Edge = 6 cm, Height = 8 cm

Slant Height = √((6/2)² + 8²) ≈ 8.54 cm
Base Area = 36 cm²
Lateral Area = 102.48 cm²
TSA = 138.48 cm²

✅ So, TSA = 138.48 cm²

Edge = 10 cm, Height = 12 cm

Slant Height = √((10/2)² + 12²) = 13 cm
Base Area = 100 cm²
Lateral Area = 260 cm²
TSA = 360 cm²

✅ So, TSA = 360 cm²

Edge = 4 m, Height = 9 m

Slant Height ≈ 9.22 m
Base Area = 16 m²
Lateral Area = 73.75 m²
TSA = 89.75 m²

✅ So, TSA = 89.75 m²

Edge = 15 cm, Height = 20 cm

Slant Height ≈ 21.37 cm
Base Area = 225 cm²
Lateral Area = 641.10 cm²
TSA = 865.80 cm²

✅ So, TSA = 865.80 cm²

Edge = 7 cm, Height = 10 cm

Slant Height ≈ 10.60 cm
Base Area = 49 cm²
Lateral Area = 148.40 cm²
TSA = 197.32 cm²

✅ So, TSA = 197.32 cm²

Features of Our Square Pyramid Surface Area Calculator

✅ Calculates total surface area with edge length and height

✅ Automatically computes slant height

✅ Instant and accurate results

✅ Works on desktop, mobile, and tablet devices

✅ Free to use, no signup required

✅ Clean and user-friendly interface

✅ Ideal for students, teachers, engineers, and architects

Who Should Use This Calculator?

Students & Teachers – For geometry lessons and math problems

Architects & Engineers – For designing pyramid-based structures

Construction Professionals – For surface planning and material estimation

Researchers & Mathematicians – For precise geometry calculations

DIY Enthusiasts – For projects involving pyramid-shaped models

Why Use an Online Square Pyramid Surface Area Calculator?

Manual calculations require multiple steps: finding the slant height, computing base and lateral areas, and summing them up. This can be time-consuming and prone to mistakes. Our Square Pyramid Surface Area Calculator simplifies the process. With just two inputs — edge length and height — it instantly provides the total surface area with 100% accuracy.

Practical Applications

Education – Learning and teaching 3D geometry

Architecture – Designing pyramid-shaped buildings or monuments

Construction – Estimating material coverings for pyramid structures

Art & Crafts – Creating pyramid models and designs

Engineering – Surface planning for pyramid-shaped objects

✅ The Square Pyramid Surface Area Calculator is a powerful and easy-to-use tool for anyone working with pyramid geometry. From classrooms to real-world projects, it delivers fast and accurate results.

👉 Try our Square Pyramid Surface Area Calculator today on Hive Calculator and simplify your geometry calculations in seconds.