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What is the cube of 3?
A. 6
B. 27
C. 9
D. 81
Correct Answer Is Option = 27
Notes / Explanation
The cube of three is twenty-seven, and this provides a good opportunity to understand the idea of the cube of a number, which is an important concept in mathematics. The cube of a number is the result of multiplying that number by itself three times, that is, the number multiplied by the number multiplied by the number again. So the cube of three is three multiplied by three multiplied by three. Working this out step by step, three multiplied by three is nine, and nine multiplied by three is twenty-seven, so that the cube of three is twenty-seven. The idea of the cube is related to the idea of the square, but while the square of a number is the number multiplied by itself once, that is, two of the number multiplied together, the cube is the number multiplied by itself twice more, that is, three of the number multiplied together. The words square and cube come from geometry, for the square of a number gives the area of a square shape whose side is that number, and the cube of a number gives the volume of a cube-shaped solid whose edges are that number in length, so that a cube with edges of three units has a volume of twenty-seven cubic units. This is why these particular powers are called the square and the cube. The cube, like the square, is an example of raising a number to a power, the cube being the same as raising the number to the power three. Cubes and other powers appear frequently in mathematics and in its applications, particularly in problems involving volumes and in many formulas. Knowing the cubes of the small numbers, at least up to a certain point, is useful, just as it is useful to know the squares. A good understanding of powers, including squares and cubes, and the ability to work them out, are valuable skills in mathematics. Questions involving squares, cubes and powers are common in examinations. For PPSC and other competitive examinations, the key points to remember are that the cube of three is twenty-seven, that the cube of a number is the result of multiplying the number by itself three times, that is, three of the number multiplied together, that the cube of a number gives the volume of a cube-shaped solid whose edges are that number in length, and that the cube is the same as raising the number to the power three.
