Formula: Error Analysis & Misconceptions in Surface Area of Cuboids
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet explores common errors and misconceptions related to the formula for surface area of cuboids. It includes practice questions, reasoning, and real-world applications to deepen understanding.
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Formula: Error Analysis & Misconceptions in Surface Area of Cuboids
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer the following questions to practice calculating surface area of cuboids. Show all your working in the grid spaces provided.
1.
Calculate the surface area of a cuboid with length 8 cm, width 5 cm, and height 3 cm.
[2 marks]2.
A cuboid has dimensions 10 cm, 4 cm, and 6 cm. Find its surface area.
[2 marks]3.
A rectangular box measures 12 cm by 7 cm by 5 cm. What is its surface area?
[2 marks]4.
Calculate the surface area of a cuboid with dimensions 15 cm, 9 cm, and 4 cm.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems involving surface area. Explain your reasoning clearly.
1.
A storage box is 20 cm long, 10 cm wide, and 8 cm high. A worker covers the box with wrapping paper. How much paper is needed? Show your calculations.
[4 marks]2.
A cardboard box has a length of 25 cm, width of 10 cm, and height of 15 cm. If a sheet of paper with an area of 6000 cm² is used to cover it, does the sheet suffice? Explain.
[4 marks]C
Real-world Applications
Answer the following questions based on real-life scenarios involving surface area.
1.
A rectangular swimming pool measures 25 meters long, 10 meters wide, and 2 meters deep. How much surface area of the pool needs to be painted if the sides and bottom are to be coated? Assume the top is open.
[3 marks]2.
A delivery box is 60 cm by 40 cm by 30 cm. If the packaging material costs $0.05 per cm², what is the total cost to cover the box? Show your work.
[4 marks]D
Challenge & Extension
Tackle these more difficult problems involving surface area and common misconceptions.
1.
A cuboid has length 14 cm, width 9 cm, and height 6 cm. A student mistakenly uses the formula 2(lw + lh + wh) and gets 300 cm² as the surface area. Identify and correct the mistake.
[3 marks]2.
Construct a cuboid on the grid with dimensions 10 cm, 8 cm, and 6 cm. Calculate its surface area, then verify if your drawing matches the calculated area.
[4 marks]E
Mixed Review
Answer these questions to review your understanding of the formula for surface area.
1.
Explain why the formula 2(lw + lh + wh) is used for surface area of a cuboid.
[3 marks]2.
A cuboid has dimensions 9 cm, 4 cm, and 3 cm. Write the formula for its surface area and show the calculation.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet