Squares, Cubes, Square Roots, and Cube Roots

Front

What is the definition of a square number?

Back

A square number is an integer that is the square of an integer. For example, 1, 4, 9, 16, and 25 are square numbers because they can be expressed as 1^2, 2^2, 3^2, 4^2, and 5^2 respectively.

Front

What is the definition of a cube number?

Back

A cube number is an integer that is the cube of an integer. For example, 1, 8, 27, and 64 are cube numbers because they can be expressed as 1^3, 2^3, 3^3, and 4^3 respectively.

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y^2 = x. For example, the square root of 16 is 4, since 4^2 = 16.

Front

What is the cube root of a number?

Back

The cube root of a number x is a value y such that y^3 = x. For example, the cube root of 27 is 3, since 3^3 = 27.

Front

Write the equation for 'Two cubed is equal to the square root of x'.

Back

Front

If a cube has a volume of 64 cubic units, what is the length of one side?

Back

The length of one side is 4 units, since the volume V of a cube is given by V = s^3, thus 64 = s^3, and s = 4.

Front

Identify the perfect squares from the set: -144, 9, 50, 75, 81, 100.

Back

The perfect squares are 9, 81, and 100.

Front

Back

Front

What is the formula for finding the area of a square?

Back

The area A of a square is given by the formula A = s^2, where s is the length of a side.

Front

What is the formula for finding the volume of a cube?

Back

The volume V of a cube is given by the formula V = s^3, where s is the length of a side.