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 the cube of 3.5.
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 3.5 can be written as 3.5³, which is the exponential form. Or it can also be written in arithmetic form as 3.5 × 3.5 × 3.5.
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 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 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. 3.5³ = 3.5 × 3.5 × 3.5
Step 2: You get 42.875 as the answer. Hence, the cube of 3.5 is 42.875.
There is no simple binomial formula for a single number, but understanding the multiplication of numbers can help find the cube.
Step 1: Calculate 3.5³ directly by multiplication.
Step 2: Multiply 3.5 by itself twice more:
3.5 × 3.5 = 12.25
12.25 × 3.5 = 42.875
Step 3: Hence, the cube of 3.5 is 42.875.
To find the cube of 3.5 using a calculator, input the number 3.5 and use the cube function (if available) or multiply 3.5 × 3.5 × 3.5. This operation calculates the value of 3.5³, resulting in 42.875. 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 . and 5
Step 3: If the calculator has a cube function, press it to calculate 3.5³.
Step 4: If there is no cube function on the calculator, simply multiply 3.5 three times manually.
Step 5: The calculator will display 42.875.
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 3.5?
The cube of 3.5 is 42.875 and the cube root of 3.5 is approximately 1.518.
First, let’s find the cube of 3.5. 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 3.5³ = 42.875
Next, we must find the cube root of 3.5.
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 ∛3.5 ≈ 1.518
Hence, the cube of 3.5 is 42.875 and the cube root of 3.5 is approximately 1.518.
If the side length of a cube is 3.5 cm, what is the volume?
The volume is 42.875 cm³.
Use the volume formula for a cube V = Side³.
Substitute 3.5 for the side length: V = 3.5³ = 42.875 cm³.
How much larger is 3.5³ than 2.5³?
3.5³ – 2.5³ = 31.375.
First find the cube of 3.5³, that is 42.875.
Next, find the cube of 2.5³, which is 15.625.
Now, find the difference between them using the subtraction method.
42.875 – 15.625 = 31.375
Therefore, 3.5³ is 31.375 larger than 2.5³.
If a cube with a side length of 3.5 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 3.5 cm is 42.875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 3.5 means multiplying 3.5 by itself three times: 3.5 × 3.5 = 12.25, and then 12.25 × 3.5 = 42.875.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 42.875 cm³.
Estimate the cube 3.6 using the cube 3.5.
The cube of 3.6 is approximately 46.656.
First, identify the cube of 3.5. The cube of 3.5 is 3.5³ = 42.875.
Since 3.6 is only a tiny bit more than 3.5, the cube of 3.6 will be slightly more than the cube of 3.5.
The cube of 3.6 is approximately 46.656 because the difference between 3.5 and 3.6 is small.
So, we can approximate the value as 46.656 by calculating directly: 3.6 × 3.6 × 3.6 = 46.656.
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.