Last updated on July 2nd, 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 1352.
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 1352 can be written as 1352³, which is the exponential form. Or it can also be written in arithmetic form as, 1352 × 1352 × 1352.
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 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. 1352³ = 1352 × 1352 × 1352 Step 2: You get 2,471,882,048 as the answer. Hence, the cube of 1352 is 2,471,882,048.
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 1352 into two parts. Let a = 1350 and b = 2, so a + b = 1352 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 1350³ 3a²b = 3 × 1350² × 2 3ab² = 3 × 1350 × 2² b³ = 2³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1350 + 2)³ = 1350³ + 3 × 1350² × 2 + 3 × 1350 × 2² + 2³ 1352³ = 2,460,375,000 + 10,926,000 + 16,200 + 8 1352³ = 2,471,882,048 Step 5: Hence, the cube of 1352 is 2,471,882,048.
To find the cube of 1352 using a calculator, input the number 1352 and use the cube function (if available) or multiply 1352 × 1352 × 1352. This operation calculates the value of 1352³, resulting in 2,471,882,048. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 1 followed by 3, 5, and 2. Step 3: If the calculator has a cube function, press it to calculate 1352³. Step 4: If there is no cube function on the calculator, simply multiply 1352 three times manually. Step 5: The calculator will display 2,471,882,048.
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 1352?
The cube of 1352 is 2,471,882,048 and the cube root of 1352 is approximately 11.080.
First, let’s find the cube of 1352. 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 1352³ = 2,471,882,048. Next, we must find the cube root of 1352. 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 ∛1352 ≈ 11.080. Hence, the cube of 1352 is 2,471,882,048 and the cube root of 1352 is approximately 11.080.
If the side length of a cube is 1352 cm, what is the volume?
The volume is 2,471,882,048 cm³.
Use the volume formula for a cube V = Side³. Substitute 1352 for the side length: V = 1352³ = 2,471,882,048 cm³.
How much larger is 1352³ than 1300³?
1352³ – 1300³ = 316,882,048.
First, find the cube of 1352³, which is 2,471,882,048. Next, find the cube of 1300³, which is 2,197,000,000. Now, find the difference between them using the subtraction method: 2,471,882,048 – 2,197,000,000 = 316,882,048. Therefore, 1352³ is 316,882,048 larger than 1300³.
If a cube with a side length of 1352 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1352 cm is 2,471,882,048 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1352 means multiplying 1352 by itself three times: 1352 × 1352 = 1,829,504, and then 1,829,504 × 1352 = 2,471,882,048. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,471,882,048 cm³.
Estimate the cube 1351.9 using the cube 1352.
The cube of 1351.9 is approximately 2,471,882,048.
First, identify the cube of 1352. The cube of 1352 is 1352³ = 2,471,882,048. Since 1351.9 is only a tiny bit less than 1352, the cube of 1351.9 will be almost the same as the cube of 1352. The cube of 1351.9 is approximately 2,471,882,048 because the difference between 1351.9 and 1352 is very small. So, we can approximate the value as 2,471,882,048.
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 is the cube of an integer. Volume Formula: A mathematical formula used to calculate the space inside a three-dimensional object, such as a cube, using the side length raised to the power of three.
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.