Squares, Cubes, Square Roots, and Cube Roots

Front

What is the formula for the volume of a cube?

Back

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

Front

What is the relationship between a number and its square root?

Back

The square root of a number x is a value y such that y^2 = x.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

What is the cube of a number?

Back

The cube of a number x is the result of multiplying x by itself three times, expressed as x^3.

Front

What is the square root of 49?

Back

The square root of 49 is 7, since 7^2 = 49.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3, since 3^3 = 27.

Front

How do you find the side length of a cube if the volume is known?

Back

To find the side length s of a cube with volume V, use the formula: s = V^(1/3).

Front

What is the equation for 'Two cubed is equal to the square root of x'?

Back

The equation is: 2^3 = \sqrt{x}, which simplifies to 8 = \sqrt{x}.

Front

Which of the following numbers is irrational?

Back

The square root of 50 is irrational, as it cannot be expressed as a simple fraction.

Front

What is the square of 8?

Back

The square of 8 is 64, since 8^2 = 64.