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Volume of Square-based Pyramid Frustums worksheet

Suitable for Year groups: 10, 11
GCSE Tier:
Higher
Targeting grades: 6-7
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Prerequisite knowledge: Volume of a square-based pyramid. Similarity and scale factors.
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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.

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