Subject: Mathematics
Book: Maths Mastery
A perfect cube is an integer that is the cube of another integer, such as 27 = 3³ or 64 = 4³. Spotting these efficiently helps with factoring polynomials (like x³ – 8) or simplifying cube roots. Perfect cubes appear in 3D volume calculations, for instance, a 5×5×5 cube has a volume of 125. Understanding these patterns (1, 8, 27, 64, 125, ...) can streamline computations and deepen your exploration of algebraic identities like a³ ± b³. Whether comparing volumes or factoring expressions, perfect cubes are a potent tool in advanced math and practical tasks.
If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
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View QuestionThe probability of getting an even number when rolling a die is:
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View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionA triangle has angles 60°, 60°, and 60°. What type of triangle is it?
View QuestionWhat is the sum of the interior angles of a hexagon?
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