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 cubes of 970.
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 970 can be written as 970³, which is the exponential form. Or it can also be written in arithmetic form as, 970 × 970 × 970.
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 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. 970³ = 970 × 970 × 970 Step 2: Calculate to get 912,673,000. Hence, the cube of 970 is 912,673,000.
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 970 into two parts, as 900 and 70. Let a = 900 and b = 70, so a + b = 970 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 70 3ab² = 3 × 900 × 70² b³ = 70³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 70)³ = 900³ + 3 × 900² × 70 + 3 × 900 × 70² + 70³ 970³ = 729,000,000 + 170,100,000 + 132,300,000 + 343,000 970³ = 912,673,000 Step 5: Hence, the cube of 970 is 912,673,000.
To find the cube of 970 using a calculator, input the number 970 and use the cube function (if available) or multiply 970 × 970 × 970. This operation calculates the value of 970³, resulting in 912,673,000. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 9 followed by 7 and 0. Step 3: If the calculator has a cube function, press it to calculate 970³. Step 4: If there is no cube function on the calculator, simply multiply 970 three times manually. Step 5: The calculator will display 912,673,000.
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 970?
The cube of 970 is 912,673,000 and the cube root of 970 is approximately 9.879.
First, let’s find the cube of 970. We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 970³ = 912,673,000. Next, we must find the cube root of 970. 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 ∛970 ≈ 9.879. Hence the cube of 970 is 912,673,000 and the cube root of 970 is approximately 9.879.
If the side length of the cube is 970 cm, what is the volume?
The volume is 912,673,000 cm³.
Use the volume formula for a cube V = Side³. Substitute 970 for the side length: V = 970³ = 912,673,000 cm³.
How much larger is 970³ than 900³?
970³ – 900³ = 183,673,000.
First, find the cube of 970, which is 912,673,000. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 912,673,000 – 729,000,000 = 183,673,000. Therefore, 970³ is 183,673,000 larger than 900³.
If a cube with a side length of 970 cm is compared to a cube with a side length of 70 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 970 cm is 912,673,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 970 means multiplying 970 by itself three times: 970 × 970 = 940,900, and then 940,900 × 970 = 912,673,000. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 912,673,000 cm³.
Estimate the cube of 969.9 using the cube of 970.
The cube of 969.9 is approximately 912,673,000.
First, identify the cube of 970, The cube of 970 is 970³ = 912,673,000. Since 969.9 is only a tiny bit less than 970, the cube of 969.9 will be almost the same as the cube of 970. The cube of 969.9 is approximately 912,673,000 because the difference between 969.9 and 970 is very small. So, we can approximate the value as 912,673,000.
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. Cube Root: The number that, when used in a multiplication three times, gives that number. Perfect Cube: A number that can be expressed as the cube of an integer.
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.