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May 11, 2024 · A cube, like any 3D object, has a volume and a surface area. But what exactly is surface area? Well, sticking to our object of interest, the surface area of a cube is the 2D surface that separates what is inside from what is outside the cube.
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- Surface Area
The formula depends on the type of solid. Surface area of a...
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Surface area of cube is the sum of areas of all the faces of cube, that covers it. The formula for surface area is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area. Also, learn Volume Of A Cube.
- How to find the surface area of cube?Each face of the cube is in square shape. We know the area of square is equal to side2. Since, there are six faces of cube, therefore the total sur...
- What is the formula of surface area of cube?If a is the edge length of a surface of a cube, then the formula of surface area is given by 6a2.
- What is the volume of a cube?The volume of a cube is the space contained by a cube. It is calculated by the formula a3, where a is the edge length of the cube.
- What is the surface area of cube?The surface area is the region occupied by the surfaces of the cube in a three-dimensional space. The six faces of the cube occupy some space which...
- What is the lateral surface area of cube?The lateral surface area of cube is the total surface area of the cube, which is equal to sum of areas of all its sides.
- Overview
- Calculating the Surface Area Knowing the Length of One Side
- Calculating the Surface Area Knowing the Volume
The surface area of an object is the combined area of all of the sides on its surface. All six sides of a cube are congruent, so to find the surface area of a cube, all you have to do is find the surface area of one side of the cube and then multiply it by six. If you want to know how to find the surface area of a cube, just follow these steps.
Understand that the surface area of a cube is made up of the areas of its six faces.
Since all of the faces of a cube are congruent, we can just find the area of one face and multiply it by 6 to get the total surface area. The surface area can be found by using a simple formula: 6 x s
, where "s" represents a side of the cube.
Find the area of one side of the cube.
To find the area of one side of the cube, you need to find "s," which represents the side length of a cube, and then find s
This really means that you'll be multiplying the length of the cube's side times its width to find its area -- the length and width of a cube's side just happen to be the same. If one side of the cube, or "s," is equal to 4 centimeter (1.6 in), then the area of the side of the cube is (4 cm)
Find the volume of the cube.
Let's say that the volume of the cube is 125 cm
Find the cube root of the volume.
To find the cube root of the volume, just look for a number that can be cubed to become the volume, or use your calculator. The number won't always be a whole number. In this case, with the number 125 is a perfect cube, and its cube root is 5, because 5 x 5 x 5 = 125. So, "s," or one side of the cube, is 5.
Plug this answer into the formula for finding the surface area of a cube.
Now that you know the length of one side of a cube, just plug it into the formula for finding the surface area of a cube: 6 x s
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Example 1: surface area of a cube (integer side lengths) Find the surface area of the cube below. Write the formula for the surface area of the cube. 2 Substitute any known value (s) into the formula. Here, x=5 x = 5 and so S=6\times {5}^ {2}. S = 6 × 52. 3 Complete the calculation.
This means that each of the cube's six faces is a square. The total surface area is therefore six times the area of one face. Or as a formula: surface area. =. 6. s. 2. Where s is the length of any edge of the cube.
Step 1: Identifying the length of the side of the cube. Step 2: Finding the square of the length of the side of the cube. Such that we have an area of a single flat surface. Step 3: IF we wish to find out the total surface area, we calculate the product of the square of side length by 6, or by using the formula 6 a 2.
