Last updated on May 26th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 432.
A cube number is a value obtained by raising a number to the power of 3 or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number multiplied by itself three times results in a negative number. The cube of 432 can be written as 432³, which is the exponential form. Or it can also be written in arithmetic form as 432 × 432 × 432.
In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers. By Multiplication Method Using a Formula Using a Calculator
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. 432³ = 432 × 432 × 432 Step 2: You get 80,423,424 as the answer. Hence, the cube of 432 is 80,423,424.
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³. Step 1: Split the number 432 into two parts. Let a = 400 and b = 32, so a + b = 432 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 400³ 3a²b = 3 × 400² × 32 3ab² = 3 × 400 × 32² b³ = 32³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (400 + 32)³ = 400³ + 3 × 400² × 32 + 3 × 400 × 32² + 32³ 432³ = 64,000,000 + 15,360,000 + 1,228,800 + 32,768 432³ = 80,423,424 Step 5: Hence, the cube of 432 is 80,423,424.
To find the cube of 432 using a calculator, input the number 432 and use the cube function (if available) or multiply 432 × 432 × 432. This operation calculates the value of 432³, resulting in 80,423,424. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 4, followed by 3, then 2 Step 3: If the calculator has a cube function, press it to calculate 432³. Step 4: If there is no cube function on the calculator, simply multiply 432 three times manually. Step 5: The calculator will display 80,423,424.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 432?
The cube of 432 is 80,423,424 and the cube root of 432 is approximately 7.57.
First, let’s find the cube of 432. We know that the cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 432³ = 80,423,424 Next, we must find the cube root of 432 We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ∛432 ≈ 7.57 Hence, the cube of 432 is 80,423,424 and the cube root of 432 is approximately 7.57.
If the side length of the cube is 432 cm, what is the volume?
The volume is 80,423,424 cm³.
Use the volume formula for a cube V = Side³. Substitute 432 for the side length: V = 432³ = 80,423,424 cm³.
How much larger is 432³ than 400³?
432³ – 400³ = 16,423,424.
First find the cube of 432, that is 80,423,424 Next, find the cube of 400, which is 64,000,000 Now, find the difference between them using the subtraction method. 80,423,424 – 64,000,000 = 16,423,424 Therefore, 432³ is 16,423,424 larger than 400³.
If a cube with a side length of 432 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 432 cm is 80,423,424 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 432 means multiplying 432 by itself three times: 432 × 432 = 186,624, and then 186,624 × 432 = 80,423,424. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 80,423,424 cm³.
Estimate the cube of 431.9 using the cube of 432.
The cube of 431.9 is approximately 80,423,424.
First, identify the cube of 432, The cube of 432 is 432³ = 80,423,424. Since 431.9 is only a tiny bit less than 432, the cube of 431.9 will be almost the same as the cube of 432. The cube of 431.9 is approximately 80,423,424 because the difference between 431.9 and 432 is very small. So, we can approximate the value as 80,423,424.
Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number. Cube of a Number: Multiplying a number by itself three times is called the cube of a number. Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8. Volume of a Cube: The volume is the space occupied by the cube, calculated as the side length raised to the power of three. Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself three times.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.