Last updated on June 3rd, 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 304.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 304 can be written as (3043), which is the exponential form. Or it can also be written in arithmetic form as, 304 x 304 x 304.
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.
The multiplication method is a process in mathematics used to find the product of 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. 3043 = 304 x 304 x 304
Step 2: Calculate the product. You get 28,142,304 as the answer. Hence, the cube of 304 is 28,142,304.
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 304 into two parts, as a and b. Let a = 300 and b = 4, so a + b = 304
Step 2: Now, apply the formula (a+b)3 = a3 + 3a2b + 3ab2 + b3.
Step 3: Calculate each term
a3 = 3003
3a2b = 3 x 3002 x 4
3ab2 = 3 x 300 x 42
b3 = 43
Step 4: Add all the terms together:
(a+b)3 = a3 + 3a2b + 3ab2 + b3
(300 + 4)3 = 3003 + 3 x 3002 x 4 + 3 x 300 x 42 + 43
3043 = 27,000,000 + 1,080,000 + 14,400 + 64
3043 = 28,142,464
Step 5: Hence, the cube of 304 is 28,142,464.
To find the cube of 304 using a calculator, input the number 304 and use the cube function (if available) or multiply (304 x 304 x 304). This operation calculates the value of 3043, resulting in 28,142,464. 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 0 and 4.
Step 3: If the calculator has a cube function, press it to calculate 3043.
Step 4: If there is no cube function on the calculator, simply multiply 304 three times manually.
Step 5: The calculator will display 28,142,464.
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 304?
The cube of 304 is 28,142,464 and the cube root of 304 is approximately 6.678.
First, let’s find the cube of 304.
We know that the cube of a number is such that x3 = y Where x is the given number, and y is the cubed value of that number.
So, we get 3043 = 28,142,464.
Next, we must find the cube root of 304. 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 ∛304 = 6.678.
Hence, the cube of 304 is 28,142,464 and the cube root of 304 is approximately 6.678.
If the side length of a cube is 304 cm, what is the volume?
The volume is 28,142,464 cm³.
Use the volume formula for a cube V = Side3. Substitute 304 for the side length: V = 3043 = 28,142,464cm³.
How much larger is 304³ than 300³?
3043 - 3003 = 1,728,464.
First, find the cube of 304, which is 28,142,464.
Next, find the cube of 300, which is 27,000,000.
Now, find the difference between them using the subtraction method.
28,142,464 - 27,000,000 = 1,142,464.
Therefore, 3043 is 1,142,464 larger than 3003.
If a cube with a side length of 304 cm is compared to a cube with a side length of 4 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 304 cm is significantly larger at 28,142,464 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 304 means multiplying 304 by itself three times: 304 x 304 = 92,416, and then 92,416 x 304 = 28,142,464.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 28,142,464 cm³.
Estimate the cube of 303.9 using the cube of 304.
The cube of 303.9 is approximately 28,142,464.
First, identify the cube of 304.
The cube of 304 is 3043 = 28,142,464. Since 303.9 is only a tiny bit less than 304, the cube of 303.9 will be almost the same as the cube of 304.
The cube of 303.9 is approximately 28,142,464 because the difference between 303.9 and 304 is very small.
So, we can approximate the value as 28,142,464.
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.