# How to Find the Surface Area of a Cube

An object’s surface area is the sum of the areas on all of its sides. Because all six sides of a cube are congruent, finding the surface area of a cube is as simple as finding the surface area of one side of the cube and multiplying it by six. Simply follow these instructions to learn how to determine the surface area of a cube.

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## Method 1 : Calculating the Surface Area Knowing the Length of One Side

**1. Recognize that a cube’s surface area is made up of the areas of its six faces. Because all of a cube’s faces are congruent, we can simply determine the area of one face and multiply it by six to obtain the overall surface area. The surface area may be calculated using a simple formula: 6 x s ^{2}, where “s” indicates a cube side.**

**2. Determine the area of one of the cube’s sides. To get the area of one side of a cube, first find “s,” which indicates the cube’s side length, and then find s ^{2}. This basically implies multiplying the length of a cube’s side by its breadth to determine its area; the length and width of a cube’s side simply happen to be the same. If one side of the cube, or “s,” is 4 centimeters (1.6 in), the area of that side is (4 cm)^{2}, or 16 cm^{2}. Remember to express your response in square units.**

**3. Multiply the area of the cube’s side by 6. Now that you’ve determined the area of one side of the cube, all you need to do is multiply this amount by 6. 16 cm ^{2} x 6 = 96 cm^{2}. The cube has a surface area of 96 cm^{2}.**

## Method 2 : Calculating the Surface Area Knowing the Volume

**1. Calculate the volume of the cube. Assume the cube has a volume of 125 cm ^{3}.**

**2. Determine the volume’s cube root. Simply seek for a quantity that can be cubed to create the volume, or use your calculator, to discover the cube root of the volume. The result will not always be a full number. The number 125 is a perfect cube in this situation, and its cube root is 5, since 5 x 5 x 5 = 125. As a result, “s,” or one side of the cube, is 5.**

**3. Incorporate this result into the formula for calculating the surface area of a cube. Now that you know how long one side of a cube is, just insert it into the formula for calculating the surface area of a cube: 6 x s ^{2}. Because one side is 5 centimeters (2.0 in) long, just insert it into the formula as follows: 6 x (5 cm)^{2}.**

**4 Solve. Simply do the math. 6 x (5 cm) ^{2} = 6 x 25 cm^{2} = 150 centimeter (59.1 in) ^{2}.**

## How do u find surface area of a cube?

A cube has six sides. Squaring the length of the side yields the area of each face. To get the overall surface area of the cube, multiply the area of one face by the number of faces.

## What is the surface area of a 3x3x3 cube?

A cube, as you may know, has six square faces. If each face is 3 inches by 3 inches, the area of each face is 3 3 = 9 square inches. Because there are six of them, the total surface area is 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 54 square inches.

## What is the formula for surface area?

Surface Area Formula | Surface Area Meaning |
---|---|

SA=2B+Ph | Find the area of each face. Add up all areas. |

SA=B+12sP | Find the area of each face. Add up all areas. |

SA=2B+2πrh | Find the area of the base, times 2, then add the areas to the areas of the rectangle, which is the circumference times the height. |

## What is the surface area of a 5cm cube?

150cm2

A=6a2=6(5)2=625=150cm2 is the surface area of a cube with a 5cm edge.

## What is the surface area of a 12 cm cube?

Cube surface area =6a2=6(12)2=6144=864cm2.

## What is cube formula?

Cube | Cuboid |
---|---|

Volume of cube = (Side)^{3} | Volume of the cuboid = (length × breadth × height) |

Diagonal of a cube = √3l | Diagonal of the cuboid =√( l^{2} + b^{2} +h^{2}) |

Perimeter of cube = 12 × side | Perimeter of cuboid = 4 (length + breadth + height) |