Mensuration

Calculate area, volume, and surface area for 2D and 3D shapes.

6|62|Updated Jun 17, 2026
One-click install
npx skills add https://github.com/vicharanashala/tenali --skill mensuration
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: Mensuration
Source: https://github.com/vicharanashala/tenali/tree/main/supermarket/mensur
Command: npx skills add https://github.com/vicharanashala/tenali --skill mensuration

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill simplifies the process of learning and practicing complex geometric formulas for 2D areas and 3D volumes, providing an interactive environment for students to test their mathematical proficiency.

Core Features & Use Cases

  • Geometric Formula Practice: Covers a wide range of shapes including rectangles, triangles, circles, cylinders, cones, and spheres.
  • Adaptive Difficulty: Automatically adjusts the challenge level based on user performance, ranging from basic 2D area calculations to complex 3D surface area problems.
  • Use Case: A student preparing for a GCSE Mathematics exam can use this tool to generate randomized practice problems for cylinder volume and sphere surface area to build speed and accuracy.

Quick Start

Use the mensuration skill to generate a hard-level practice question for calculating the volume of a 3D shape.

Frequently Asked Questions about Mensuration

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I practice geometric area and volume calculations for GCSE mathematics?

You can practice geometric area and volume calculations by generating randomized questions for 2D and 3D shapes. The system provides adaptive learning paths and automated answer validation with rounding tolerance for floating-point results to build exam speed.

Can I generate randomized practice questions for cylinder volume and sphere surface area?

Yes, you can generate randomized practice questions for cylinder volume and sphere surface area. The skill supports automated question generation for various 2D and 3D shapes and validates your calculated answers automatically.

Does the mensuration quiz adapt difficulty based on my mathematical problem solving performance?

Yes, the mensuration quiz adapts difficulty based on your performance. It automatically adjusts the challenge level from basic 2D area calculations to complex 3D surface area problems as you progress through the questions.

What 2D and 3D geometric shapes are supported for area and surface area calculations?

The geometric formula practice covers rectangles, triangles, circles, cylinders, cones, and spheres. You can calculate standard 2D areas, 3D volumes, and complex 3D surface areas using standard mathematical formulas.

How does automated answer validation handle floating-point results in geometry problems?

Automated answer validation handles floating-point results in geometry problems by applying a rounding tolerance. This ensures your calculated values for areas and volumes are marked correctly even with minor decimal variations.

Are there limitations when using this tool for calculus-related mensuration problems?

The tool focuses on standard mathematical formulas for geometric area and volume calculations rather than calculus. It is designed for GCSE-level mathematics practice and may not cover advanced calculus-based mensuration derivations.