Recognizing: Real-world Applications of Cube Numbers in Architecture & Design

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

This worksheet explores recognizing cube numbers through real-world architecture and design contexts. Students will identify cube numbers, analyze their properties, and solve related problems.

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Full preview • 11 questions

Recognizing: Real-world Applications of Cube Numbers in Architecture & Design

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 cube of 3.
[1 mark]
2.
What is the value of 4^3?
[1 mark]
3.
Identify the cube number: The number of small cubes used to build a 3x3x3 cube.
[2 marks]
4.
Construct a cube with side length 2 units on the grid. How many small cubes does it contain?
[2 marks]
5.
Find the cube of 5.
[1 mark]
6.
In architecture, a design features a cube-shaped structure with edge length 6 meters. How many cubic meters of material are needed to build it?
[3 marks]
7.
A mosaic artist arranges small cubes of side 1.5 cm to form a larger cube. If the total number of small cubes is 64, what is the length of one side of the large cube?
[3 marks]
8.
A building design uses a cube with volume 343 cubic meters. What is the length of each side?
[2 marks]
9.
Identify the common mistake: A student claims that 3^3 = 9 because they added 3 + 3 + 3. What is wrong with this reasoning?
[2 marks]
10.
If the side length of a cube is 4 units, what is its total surface area? (Use the formula 6×side^2)
[2 marks]
11.
A cube-shaped storage unit has a volume of 512 cubic meters. What is the length of each side? (Round to the nearest whole number if necessary.)
[2 marks]

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Details

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