Cube: Real-world Applications in Architecture & Design

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the properties of cubes within architectural and design contexts, aimed at Grade 7 students.

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Cube: Real-world Applications 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 surface area of a cube with side length 4 meters.
[2 marks]
2.
Find the volume of a cube with side length 5 cm.
[2 marks]
3.
A cube-shaped storage box has a volume of 64 cubic meters. What is the length of one side?
[2 marks]
4.
Calculate the total surface area of a cube with side length 7 units.
[3 marks]
5.
Construct a cube on the grid with a side length of 3 units. Show all steps in your drawing.
[3 marks]
6.
A building design uses a large cube-shaped sculpture with an edge of 10 meters. Find the surface area in square meters.
[3 marks]
7.
If the side length of a cube increases by 2 meters, how does its volume change?
[3 marks]
8.
A designer needs to create a cube-shaped display case with a surface area of 216 square units. What should be the length of each side?
[2 marks]
9.
Determine the volume of a cube with a side length of 2.5 units.
[2 marks]
10.
A cube has a surface area of 150 square units. Find its side length.
[2 marks]
11.
Error Analysis: A student calculates the surface area of a cube with side 4 as 64 square units. What is the mistake, and what is the correct answer?
[3 marks]
12.
Challenge & Extension: A cube-shaped room has a volume of 27 cubic meters. A designer wants to build a glass cube extension of the same height but double the volume. What will be the side length of the new extension?
[4 marks]

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Details

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