Net Method: Real-world Applications in Surface Area of Pyramids

Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focused on applying the Net Method to find surface areas of pyramids in real-world shopping and money contexts, aimed at GCSE Foundation students.

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Net Method: Real-world Applications in Surface Area of Pyramids

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a square-based pyramid with a base side of 4 cm and a slant height of 6 cm using the Net Method.
[3 marks]
2.
Construct the net of a pyramid with a rectangular base measuring 5 cm by 3 cm, and triangular sides with a slant height of 4 cm.
[3 marks]
3.
A gift box is a pyramid-shaped container with a square base of 10 cm each side and a slant height of 12 cm. Find its surface area.
[4 marks]
4.
Fluency & Practice: A small pyramid has a base of 3 cm and a lateral face slant height of 5 cm. Calculate its surface area.
[2 marks]
5.
Problem Solving & Reasoning: A pyramid-shaped display stand has a rectangular base 8 cm by 5 cm and triangular sides with a slant height of 7 cm. If the base is covered with a sheet of material, how much material is needed to cover the sides? Show your working.
[4 marks]
6.
Construct a net for a pyramid with a triangular base measuring 6 cm per side and lateral faces with a slant height of 8 cm.
[3 marks]
7.
A tetrahedral pyramid has a base edge of 5 cm and a slant height of 7 cm. Calculate the total surface area.
[3 marks]
8.
Error Analysis: A student calculates the surface area of a pyramid as 60 cm² when using a slant height of 5 cm and base side of 4 cm. Identify and correct the mistake.
[2 marks]
9.
Challenge & Extension: Design a net for a pyramid with a hexagonal base of 6 cm side length and lateral faces with a slant height of 9 cm. Calculate its surface area.
[4 marks]
10.
Mixed Review: A pyramid with a square base of 8 cm and a slant height of 10 cm is covered with a sheet of paper to make a model. Calculate the total surface area.
[3 marks]

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Details

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