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Net Method: Challenge & Extension

Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet designed to develop understanding and application of the Net Method for calculating the surface area of pyramids, including practice, reasoning, and extension questions for GCSE Foundation students.

Topics covered:

#Mathematics
#Geometry & Measures
#Surface Area of Pyramids
#Net Method
#GCSE Foundation

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Full preview • 10 questions

Net Method: Challenge & Extension

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Introduction

The Net Method involves constructing or visualising the net of a pyramid, which is a two-dimensional pattern that can be folded to form the three-dimensional shape. To find the surface area, calculate the area of each face in the net and sum these areas. The formula for the lateral surface area of a pyramid involves the slant height, while the total surface area includes the base area.

B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the total surface area of a square-based pyramid with a base side length of 6 cm and a slant height of 8 cm, using the net method.
[4 marks]
2.
Construct the net of a triangular pyramid with a base edge of 4 cm and lateral faces with an area of 6 cm² each. Use the net to find the total surface area.
[4 marks]
3.
A pyramid has a rectangular base measuring 10 cm by 14 cm and a slant height of 9 cm. Draw its net and find the total surface area.
[4 marks]
4.
Plot the net of a pyramid with a pentagonal base of side length 3 cm and a slant height of 7 cm. Use the net to estimate the total surface area.
[4 marks]
5.
A square pyramid has a base of 5 cm and a slant height of 6 cm. Calculate the lateral surface area by constructing its net.
[4 marks]
6.
Identify and correct the mistake in the following solution: A pyramid with a base area of 25 cm² and slant height of 8 cm was claimed to have a surface area of 100 cm² by summing base and lateral areas. Is this correct? Explain.
[3 marks]
7.
Using a net diagram, find the total surface area of a hexagonal pyramid with a base side length of 4 cm and a slant height of 9 cm.
[4 marks]
8.
A student constructed a net for a pyramid with base length 8 cm and slant height 10 cm. They forgot to include the triangular face on one side. How does this omission affect the surface area calculation?
[3 marks]
9.
Construct a net for a pyramid with a rectangular base measuring 3 cm by 5 cm and lateral faces with an area of 4 cm² each. Use the net to determine the total surface area.
[4 marks]
10.
Challenge: A pyramid has a square base of 12 cm and a slant height of 15 cm. Construct its net and find the total surface area, explaining each step.
[5 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet
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