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 often used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 952.
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 952 can be written as 952³, which is the exponential form. Or it can also be written in arithmetic form as 952 × 952 × 952.
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 you cube 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. 952³ = 952 × 952 × 952 Step 2: You get 863,104,608 as the answer. Hence, the cube of 952 is 863,104,608.
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 952 into two parts, as 900 and 52. Let a = 900 and b = 52, so a + b = 952 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 52 3ab² = 3 × 900 × 52² b³ = 52³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 52)³ = 900³ + 3 × 900² × 52 + 3 × 900 × 52² + 52³ 952³ = 729,000,000 + 140,400,000 + 7,776,000 + 140,608 952³ = 863,104,608 Step 5: Hence, the cube of 952 is 863,104,608.
To find the cube of 952 using a calculator, input the number 952 and use the cube function (if available) or multiply 952 × 952 × 952. This operation calculates the value of 952³, resulting in 863,104,608. 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 2 Step 3: If the calculator has a cube function, press it to calculate 952³. Step 4: If there is no cube function on the calculator, simply multiply 952 three times manually. Step 5: The calculator will display 863,104,608.
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 people might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 952?
The cube of 952 is 863,104,608 and the cube root of 952 is approximately 9.822.
First, let’s find the cube of 952. We know that the cube of a number, x³ = y Where x is the given number, and y is the cubed value of that number. So, we get 952³ = 863,104,608 Next, we must find the cube root of 952. 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 ∛952 = 9.822 Hence, the cube of 952 is 863,104,608 and the cube root of 952 is approximately 9.822.
If the side length of a cube is 952 cm, what is the volume?
The volume is 863,104,608 cm³.
Use the volume formula for a cube V = Side³. Substitute 952 for the side length: V = 952³ = 863,104,608 cm³.
How much larger is 952³ than 900³?
952³ – 900³ = 134,104,608.
First, find the cube of 952, which is 863,104,608. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 863,104,608 – 729,000,000 = 134,104,608. Therefore, 952³ is 134,104,608 larger than 900³.
If a cube with a side length of 952 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 952 cm is 863,104,608 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 952 means multiplying 952 by itself three times. 952 × 952 = 906,304, and then 906,304 × 952 = 863,104,608. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 863,104,608 cm³.
Estimate the cube of 951 using the cube of 952.
The cube of 951 is approximately 863,104,608.
First, identify the cube of 952. The cube of 952 is 952³ = 863,104,608. Since 951 is only a tiny bit less than 952, the cube of 951 will be almost the same as the cube of 952. The cube of 951 is approximately 863,104,608 because the difference between 951 and 952 is very small. So, we can approximate the value as 863,104,608.
Binomial Formula: 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: 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 is the cube of an integer. For example, 8 is a perfect cube because 2³ = 8. Cube Root: A number that, when used as a factor three times, gives the original number. For example, the cube root of 8 is 2 because 2³ = 8.
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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