Cuboid: Problem Solving & Reasoning
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on problem solving and reasoning related to cuboids, designed for Grade 7 students to develop understanding of surface area, volume, and real-world applications.
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Cuboid: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cuboid with length 8 cm, width 5 cm, and height 3 cm.
[2 marks]2.
Find the surface area of a cuboid with dimensions 10 cm by 4 cm by 6 cm.
[3 marks]3.
A cuboid has a volume of 150 cm³. If its length is 10 cm and width is 5 cm, what is its height?
[3 marks]4.
Construct a cuboid on the grid with dimensions: length 6 cm, width 3 cm, and height 4 cm. Show all measurements.
[4 marks]5.
Plot the graph of y = 2x from x=0 to x=10. Use the grid for accurate plotting.
[2 marks]6.
A box is in the shape of a cuboid with a length of 12 cm, width of 9 cm, and height of 5 cm. How many such boxes can fit into a larger cuboid measuring 48 cm by 36 cm by 15 cm?
[4 marks]7.
If you increase the length and width of a cuboid by 2 cm each, but keep the height the same, how does the surface area change?
[4 marks]8.
Identify the common mistake: A student calculates the surface area of a cuboid as 2(lw + lh + wh) but forgets to double the sum. What is the error and how should it be corrected?
[3 marks]9.
Given a cuboid with surface area 94 cm² and height 4 cm, find possible length and width combinations assuming length = width.
[4 marks]10.
Challenge: A cuboid's volume is doubled by increasing only its length. If original dimensions are 5 cm by 3 cm by 4 cm, what is the new length after doubling the volume?
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet