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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 351.
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 351 can be written as 351³, which is the exponential form. Or it can also be written in arithmetic form as, 351 × 351 × 351.
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 students 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. 351³ = 351 × 351 × 351 Step 2: You get 43,328,151 as the answer. Hence, the cube of 351 is 43,328,151.
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 351 into two parts. Let a = 350 and b = 1, so a + b = 351 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 350³ 3a²b = 3 × 350² × 1 3ab² = 3 × 350 × 1² b³ = 1³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 1)³ = 350³ + 3 × 350² × 1 + 3 × 350 × 1² + 1³ 351³ = 42,875,000 + 367,500 + 1,050 + 1 351³ = 43,328,151 Step 5: Hence, the cube of 351 is 43,328,151.
To find the cube of 351 using a calculator, input the number 351 and use the cube function (if available) or multiply 351 × 351 × 351. This operation calculates the value of 351³, resulting in 43,328,151. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 3 followed by 5 and 1 Step 3: If the calculator has a cube function, press it to calculate 351³. Step 4: If there is no cube function on the calculator, simply multiply 351 three times manually. Step 5: The calculator will display 43,328,151.
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 students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:
What is the cube and cube root of 351?
The cube of 351 is 43,328,151 and the cube root of 351 is approximately 7.059.
First, let’s find the cube of 351. 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 351³ = 43,328,151 Next, we must find the cube root of 351 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 ∛351 ≈ 7.059 Hence the cube of 351 is 43,328,151 and the cube root of 351 is approximately 7.059.
If the side length of the cube is 351 cm, what is the volume?
The volume is 43,328,151 cm³.
Use the volume formula for a cube V = Side³. Substitute 351 for the side length: V = 351³ = 43,328,151 cm³.
How much larger is 351³ than 250³?
351³ – 250³ = 35,328,151.
First find the cube of 351, which is 43,328,151. Next, find the cube of 250, which is 15,625,000. Now, find the difference between them using the subtraction method. 43,328,151 – 15,625,000 = 27,703,151 Therefore, 351³ is 27,703,151 larger than 250³.
If a cube with a side length of 351 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 351 cm is 43,328,151 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 351 means multiplying 351 by itself three times: 351 × 351 = 123,201, and then 123,201 × 351 = 43,328,151. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 43,328,151 cm³.
Estimate the cube of 350.9 using the cube of 351.
The cube of 350.9 is approximately 43,328,151.
First, identify the cube of 351, The cube of 351 is 351³ = 43,328,151. Since 350.9 is only a tiny bit less than 351, the cube of 350.9 will be almost the same as the cube of 351. The cube of 350.9 is approximately 43,328,151 because the difference between 350.9 and 351 is very small. So, we can approximate the value as 43,328,151.
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 is called a perfect cube. Cubing: The mathematical operation of raising a number to the third power, resulting in the cube of a 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.
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