Formula for calculating the volume of a cube, calculating area, how to calculate

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How to calculate the area, volume of a cube and detailed illustrated examples

I. What is a cube?

II. Compilation of formulas for calculating the area, volume of a cube

1. Formula for calculating the volume of a cube

We have: W (OPQRST) = 50 x 343 = 17150 (grams) = 0.01715 kg

2. Formula and how to calculate the area of a cube

3. Note related to the area, volume of a cube

To calculate the area and volume of a cube, students need to master the formula for calculating the volume of a cube, calculating the area to apply it best in their work. If you do not remember the knowledge, you can refer to the following article to review the knowledge.

Formula for calculating the volume of a cube, area by Mytour is the most complete and detailed compilation of how to calculate the area of a cube as well as the volume, besides, you will get acquainted with specific examples after applying the method of calculating the area, the volume of a cube.

How to calculate the area, volume of a cube and detailed illustrated examples

Mytour will provide separate formulas and examples that are quite easy to access.

Table of contents:
I. What is a cube?.
II. Formula for calculating the volume, area of a cube.
  1. Calculate the volume of a cube.
  2. Calculate the area of a cube.
  3. Note.

I. What is a cube?

A cube is a solid figure with 6 faces, 8 vertices, 12 edges, all faces are equal squares, and all edges are equal. Or you can understand a cube as a solid with equal width, length, and height. Refer to the Wikipedia article on cubes for a better understanding, and apply the formulas for calculating the area, volume of a cube effectively.

Properties of a cube:

- Has 6 equal faces.
- Has 12 equal edges.
- The diagonals of the lateral faces are equal.
- The diagonal of the cube is equal.

II. Compilation of formulas for calculating the area, volume of a cube

1. Formula for calculating the volume of a cube

The volume of a cube with edges of length a is the product of the length, height, and width of the cube, or a cubed.

Formula:

V = a x a x a = a³

Where: a: the edges of a cube.

- Example of how to calculate the volume of a cube

For a cube OPQRST with edges equal and equal to 7cm. What is the volume of cube OPQRST?

Answer

We have the edges of cube OPQRST are equal and equal to a value of a = 7cm. When applying the formula for calculating the volume of a cube, we have the answer as follows:

V = a x a x a = 7 x 7 x 7 = 343 (cm³).

Based on the simple problem above, if the problem continues to provide the value related to the weight of each cubic centimeter being 50 grams. How much is the total weight of that cube?

Applying the previous result when applying the method of calculating the volume of a cube is 343 cm³. We multiply this result by the weight value per cubic centimeter of that cube.

We have: W (OPQRST) = 50 x 343 = 17150 (grams) = 0.01715 kg

2. Formula and how to calculate the area of a cube

The area of a cube is divided into two types: the surface area and the total area. Where the surface area is the area of one face multiplied by 4, the total area is the area of one face multiplied by 6.

2.1. Formula for calculating the surface area of a cube

The surface area of a cube with edge a is the sum of the areas of 4 lateral faces of the cube.

S_xq = 4 x a²

Where:

- S_xq: Surface area.
- a: the edges of a cube.

2.2. Formula for calculating the total area of a cube

The total area of a cube with edge a is the sum of the surface area of the cube and 2 remaining faces.

S_tp = 6 x a²

Where:
- S_tp: Total area.
- a: the edges of a cube.

2.3. Example of how to calculate the area of a cube

There is a cube with 6 edges KLMNOP with all edges equal to 5cm. What is the area of this cube?

Answer:
Let the length of the edges of the cube be equal: a= 5cm. Applying the formula for calculating the area of a cube, we have
S (total) = 6a² = 6 x 5² = 6 x 25 = 150 (cm²).
S (surrounding) = 4a² = 4 x 5²= 4 x 25 = 100 (cm²).

- The volume unit is measured in cubic units (such as cubic meters (m³)).
- The area unit is measured in square units (such as square meters (m²)).

The formula for calculating the volume and area of a cube is quite popular in mathematics and practical measurement work.

If you understand how to calculate the area of a cube, you can easily calculate the volume of fill for a certain construction block. Meanwhile, if you know how to calculate the volume of a cube, you can determine the volume occupied by an object for easier installation or filling. However, you will need to learn more formulas for calculating the area of a square, how to calculate the area of a parallelogram or the area of a rectangle to solve more problems. Not to mention, in many complex problem types, you will need to apply how to calculate the area of a square, the area of a rectangle before you can calculate values like the area or volume of a cube.

A cylinder or cube are geometric shapes in space, and these are considered the most difficult exercises when studying geometry for students, if this article has helped you calculate the volume of a cube then with the previous tricks, Mytour has explored the formula for calculating the volume of a cylinder, wish you always achieve high results in studying. If you don't know the formula for calculating the area of a trapezoid, you can read our next article!

A cube is a special case of a rectangular prism. Therefore, you can apply the formula for calculating the area of a rectangular prism to calculate the area of a cube.

Learn more: Formula for calculating the area of a rectangle

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Frequently Asked Questions

What are the basic properties of a cube that students should know?

A cube has six equal square faces, twelve equal edges, and eight vertices. Each face is a square, and all edges have the same length, making it a regular polyhedron.

How can I calculate the volume of a cube effectively?

To calculate the volume of a cube, use the formula V = a³, where 'a' is the length of an edge. For example, if the edge is 7 cm, the volume will be 343 cm³.

What formula should I use to find the surface area of a cube?

The surface area of a cube can be calculated using the formula S = 6a², where 'a' is the length of an edge. This calculates the total area of all six faces.

What is the difference between surface area and total area of a cube?

The surface area refers to the area of four lateral faces, calculated as S = 4a², while the total area includes all six faces, calculated as Stp = 6a².

How do I convert the volume of a cube from cubic centimeters to kilograms?

To convert the volume from cubic centimeters to kilograms, multiply the volume by the weight per cubic centimeter. For instance, if the volume is 343 cm³ and the weight is 50 g/cm³, the weight in kilograms is 17.15 kg.