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Surface Area of Conical Frustums worksheet

Suitable for Year groups: 10, 11
GCSE Tier:
Higher
Targeting grades: 6-7
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Prerequisite knowledge: Surface area of a cone. Use similarity to find missing lengths in frustums.
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Surface Area of Conical Frustums worksheet description

This worksheet on the Surface Area of Conical Frustums provides structured practice in applying the surface area formula and geometric reasoning.

In Section A, students use the curved surface area formula for cones to calculate the surface areas of two cones and then subtract to find the surface area of the resulting frustum.

Section B introduces the need to calculate the slant height using Pythagoras’ theorem, guiding learners to derive exact values before applying them in surface area calculations. This section reinforces procedural fluency and links between different areas of geometry.

In Section C, learners calculate total surface areas of frustums by first completing structured tables, prompting them to carry out all necessary steps, and then attempting questions independently. The final task presents a reverse problem where students use a given volume to calculate surface area.

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