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Volume of Square-based Pyramid Frustums WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Volume of a square-based pyramid. Similarity and scale factors.
Learning Objective: Apply the concepts of similarity. Calculate volume of pyramids.

Volume of Square-based Pyramid Frustums WORKSHEET DESCRIPTION

Take a deep dive into calculating volumes of square-based pyramid frustums with this worksheet.

Students begin by computing volumes step by step using the standard formula for square-based pyramids, then subtract the volume of a smaller pyramid from a larger one to create a frustum. In Section B, learners apply this method to four additional frustums.

Section C introduces similar shapes to determine missing lengths before calculating final volumes, culminating in a task that combines two frustums into a single solid. The final question explores density, guiding students to integrate their knowledge of volume calculation with mass and density relationships.

Across these exercises, learners build confidence in applying geometry, algebraic reasoning, and proportional thinking in real-world contexts.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

Your students should be comfortable calculating the volume of a square-based pyramid using the standard formula, as this forms the foundation for the frustum calculations. They'll also need a solid understanding of similarity and scale factors, since the worksheet requires them to work with similar shapes to find missing dimensions before computing volumes.