Perfect Cubes to 10³: Real-world Applications

Mathematics
Grade 6
14 questions
~28 mins
1 views0 downloads

About This Worksheet

A worksheet exploring perfect cubes up to 10³, focusing on real-world contexts such as business and finance, to enhance procedural mastery and problem-solving skills.

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Perfect Cubes to 10³: Real-world Applications

Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet

Grade Grade 6
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the cube of 4.
[1 mark]
2.
What is 6³?
[1 mark]
3.
Find the cube of 9.
[1 mark]
B

Problem Solving & Reasoning

Answer all questions. Show your working in the grid spaces provided.
1.
A warehouse stacks boxes in cubic shapes, with each box measuring 3 units on each side. How many boxes are needed to fill a space of 6 units in length, width, and height?
[2 marks]
2.
A business orders cubes of ice each measuring 2³ units. How many such ice cubes are needed to fill a container measuring 8 units in length, width, and height?
[3 marks]
C

Real-world Applications

Answer all questions. Show your working in the grid spaces provided.
1.
A company designs cubic storage units with side length of 5 meters. If they want to build a storage facility with a volume of 10³ cubic meters, how many units will they need?
[3 marks]
2.
A toy manufacturer produces cubes with sides measuring 3 cm. How many such cubes are needed to make a larger cube of volume 27³ cubic centimeters?
[2 marks]
D

Challenge & Extension

Answer all questions. Show your working in the grid spaces provided.
1.
A cube-shaped pile of gold has a volume of 1000 units³. If the side length of this pile is an integer, what is the side length? Is this a perfect cube? Explain.
[3 marks]
2.
Find all perfect cubes between 1³ and 10³. List their side lengths.
[3 marks]
E

Mixed Review

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 7³.
[1 mark]
2.
If a cube has a volume of 8³, what is the length of each side?
[2 marks]
3.
List all perfect cubes from 1³ to 10³.
[3 marks]
F

Error Analysis

Identify and correct the mistake in each question.
1.
A student calculates 5³ as 125, but writes 125². Identify the mistake and correct it.
[2 marks]
2.
A student states that 10³ = 1000 and 11³ = 1331, but writes 11³ as 1111. Correct the mistake.
[2 marks]

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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.

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Details

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