Prisms: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on identifying and correcting common misconceptions about prisms, including error analysis, calculations, and real-world applications.

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Prisms: Error Analysis & Misconceptions

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 rectangular prism with length 8 cm, width 3 cm, and height 4 cm.
[3 marks]
2.
A triangular prism has a triangular base with a base length of 6 cm, height of 4 cm, and a length (depth) of 10 cm. Calculate its volume.
[3 marks]
3.
Identify the mistake in the following statement: 'The surface area of a prism is found by adding all the side lengths and multiplying by 2.'
[2 marks]
4.
A cube is a special type of prism. If each side of the cube is 5 cm, calculate its volume.
[2 marks]
5.
Construct a rectangular prism with a volume of 240 cm³, where the length is 10 cm and the width is 4 cm. Find the height.
[3 marks]
6.
A student calculates the surface area of a prism as 120 cm², but the actual surface area is 180 cm². What common mistake might the student have made?
[2 marks]
7.
A regular hexagonal prism has a height of 12 cm and a hexagon with side length 5 cm. Calculate its approximate volume (use π ≈ 3.14 for any circle calculations if needed).
[4 marks]
8.
Explain why a prism with an irregular base might have a different surface area than a prism with a regular base of the same perimeter and height.
[3 marks]
9.
A prism has a volume of 480 cm³. Its length, width, and height are in a ratio of 2:3:4. Find the dimensions.
[4 marks]
10.
Identify and correct the misconception: 'Prisms with more sides always have larger surface areas.'
[2 marks]
11.
Estimate the surface area of an open-ended rectangular prism with length 10 cm, width 5 cm, and height 8 cm (no top face).
[3 marks]

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Details

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