Last updated on May 27th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 951.
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 by itself three times results in a negative number. The cube of 951 can be written as 951³, which is the exponential form. Or it can also be written in arithmetic form as 951 × 951 × 951.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 951³ = 951 × 951 × 951 Step 2: You get 861,251,551 as the answer. Hence, the cube of 951 is 861,251,551.
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 951 into two parts, as a and b. Let a = 950 and b = 1, so a + b = 951 Step 2: Now, apply the formula (a+b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 950³ 3a²b = 3 × 950² × 1 3ab² = 3 × 950 × 1² b³ = 1³ Step 4: Add all the terms together: (a+b)³ = a³ + 3a²b + 3ab² + b³ (950+1)³ = 950³ + 3 × 950² × 1 + 3 × 950 × 1² + 1³ 951³ = 857,375,000 + 2,707,500 + 2,850 + 1 951³ = 861,251,351 Step 5: Hence, the cube of 951 is 861,251,351.
To find the cube of 951 using a calculator, input the number 951 and use the cube function (if available) or multiply 951 × 951 × 951. This operation calculates the value of 951³, resulting in 861,251,551. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9 followed by 5 and then 1 Step 3: If the calculator has a cube function, press it to calculate 951³. Step 4: If there is no cube function on the calculator, simply multiply 951 three times manually. Step 5: The calculator will display 861,251,551.
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 951?
The cube of 951 is 861,251,551 and the cube root of 951 is approximately 9.812.
First, let’s find the cube of 951. We know that the cube of a number is such that x³ = y, where x is the given number and y is the cubed value of that number. So, we get 951³ = 861,251,551 Next, we must find the cube root of 951. We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number and y is the cube root value of the number. So, we get ∛951 ≈ 9.812 Hence the cube of 951 is 861,251,551 and the cube root of 951 is approximately 9.812.
If the side length of a cube is 951 cm, what is the volume?
The volume is 861,251,551 cm³.
Use the volume formula for a cube V = Side³. Substitute 951 for the side length: V = 951³ = 861,251,551 cm³.
How much larger is 951³ than 950³?
951³ – 950³ = 2,708,401.
First, find the cube of 951, which is 861,251,551. Next, find the cube of 950, which is 857,375,000. Now, find the difference between them using the subtraction method. 861,251,551 – 857,375,000 = 2,708,401 Therefore, 951³ is 2,708,401 larger than 950³.
If a cube with a side length of 951 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 951 cm is 861,251,551 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 951 means multiplying 951 by itself three times: 951 × 951 = 904,401, and then 904,401 × 951 = 861,251,551. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 861,251,551 cm³.
Estimate the cube 950.9 using the cube 951.
The cube of 950.9 is approximately 861,251,551.
First, identify the cube of 951, The cube of 951 is 951³ = 861,251,551. Since 950.9 is only a tiny bit less than 951, the cube of 950.9 will be almost the same as the cube of 951. The cube of 950.9 is approximately 861,251,551 because the difference between 950.9 and 951 is very small. So, we can approximate the value as 861,251,551.
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. Perfect Cube: A number that can be expressed as the cube of an integer. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
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.