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 cubes of 357.
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 357 can be written as 357³, which is the exponential form. Or it can also be written in arithmetic form as, 357 × 357 × 357.
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. 357³ = 357 × 357 × 357 Step 2: You get 45,472,293 as the answer. Hence, the cube of 357 is 45,472,293.
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 357 into two parts, as a and b. Let a = 350 and b = 7, so a + b = 357 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 350³ 3a²b = 3 × 350² × 7 3ab² = 3 × 350 × 7² b³ = 7³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 7)³ = 350³ + 3 × 350² × 7 + 3 × 350 × 7² + 7³ 357³ = 42,875,000 + 2,572,500 + 51,450 + 343 357³ = 45,472,293 Step 5: Hence, the cube of 357 is 45,472,293.
To find the cube of 357 using a calculator, input the number 357 and use the cube function (if available) or multiply 357 × 357 × 357. This operation calculates the value of 357³, resulting in 45,472,293. 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 7 Step 3: If the calculator has a cube function, press it to calculate 357³. Step 4: If there is no cube function on the calculator, simply multiply 357 three times manually. Step 5: The calculator will display 45,472,293.
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 357?
The cube of 357 is 45,472,293 and the cube root of 357 is approximately 7.097.
First, let’s find the cube of 357. 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 357³ = 45,472,293 Next, we must find the cube root of 357 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 ∛357 ≈ 7.097 Hence, the cube of 357 is 45,472,293 and the cube root of 357 is approximately 7.097.
If the side length of the cube is 357 cm, what is the volume?
The volume is 45,472,293 cm³.
Use the volume formula for a cube V = Side³. Substitute 357 for the side length: V = 357³ = 45,472,293 cm³.
How much larger is 357³ than 350³?
357³ – 350³ = 2,597,293.
First, find the cube of 357³, that is 45,472,293 Next, find the cube of 350³, which is 42,875,000 Now, find the difference between them using the subtraction method. 45,472,293 – 42,875,000 = 2,597,293 Therefore, 357³ is 2,597,293 larger than 350³.
If a cube with a side length of 357 cm is compared to a cube with a side length of 7 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 357 cm is 45,472,293 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 357 means multiplying 357 by itself three times: 357 × 357 = 127,449, and then 127,449 × 357 = 45,472,293. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 45,472,293 cm³.
Estimate the cube 356.9 using the cube 357.
The cube of 356.9 is approximately 45,472,293.
First, identify the cube of 357, The cube of 357 is 357³ = 45,472,293. Since 356.9 is only a tiny bit less than 357, the cube of 356.9 will be almost the same as the cube of 357. The cube of 356.9 is approximately 45,472,293 because the difference between 356.9 and 357 is very small. So, we can approximate the value as 45,472,293.
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, 3³ represents 3 × 3 × 3 equals 27. Volume of a Cube: The volume of a cube is calculated by raising its side length to the power of three. 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.
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