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Free Printable Geometry Worksheets

Area · Perimeter · Volume · Surface Area — 2D and 3D, with step-by-step

Generate custom geometry worksheets to print as PDF or practice online with automatic grading and step-by-step explanations. 2D and 3D shapes, direct and inverse mode. Free and no registration required.

✅ Gratis 🖨️ Imprimible PDF 📐 2D y 3D 👁 Paso a paso 🔄 Modo inverso 🔗 Compartible
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What are geometry worksheets for?

Geometry develops spatial thinking and the ability to model the real world. Calculating areas, perimeters and volumes is fundamental for architecture, design, physics and advanced math.

Recommended routine: always draw the figure before calculating. Mark the known measurements, identify the formula, substitute and verify that the units are correct (cm², m³, etc.). Inverse mode — given the area, find the side — is ideal for reinforcing deep understanding of formulas.

📌 Most common mistakes

Confusing radius and diameter

The radius is half the diameter. All circle, cylinder, sphere and cone formulas use the radius. If the problem gives the diameter, divide by 2 first.

Non-perpendicular height

In triangles, rhombuses and trapezoids, the height must be perpendicular to the base — not the slanted side.

Forgetting units

Area is always in square units (cm², m²) and volume in cubic units (cm³, m³). Mixing cm with m in the same operation gives wrong results.

Inverse mode

To find the side from an area, apply the inverse operation: if A = side², then side = √A.

❓ Frequently Asked Questions

Are these worksheets free?
Yes, 100% free. No sign-up or card needed.
What is the difference between area and perimeter?
Area measures the interior surface of a shape (in square units). Perimeter is the total length of the boundary (in linear units).
How to calculate the area of a triangle?
Area = (base × height) / 2. The height must be perpendicular to the base.
What grade level are these for?
Elementary: square, rectangle, triangle. Middle school: circle, rhombus, polygon. Advanced: 3D shapes.
What is inverse mode?
In inverse mode, the area or volume is given and you must find the unknown measurement (side, radius, height).
What is the apothem?
The apothem is the distance from the center of a regular polygon to the midpoint of one of its sides.
How to calculate the volume of a cylinder?
Volume = π × r² × h, where r is the base radius and h is the height.
Can I share a worksheet with my students?
Yes. Click "Share" to copy a link with the exact configuration.

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