For example, line segment  If you use the traditional equation for a rectangular prism, where SA stands for … The surface area of a cube is the sum of the area of the six squares that cover it.

That's the top, the bottom, The area of one of them is a*a, or a 2. But we don't have to figure out all six because That's the formula If you peel it off and lay it Note also that since the sides of the cube are all 3 inches, you could also use the more traditional formula for finding the volume of a cube, where the "^" symbol means you are raising the number to an exponent, in this case, the number 3. Calculate the unknown defining side lengths, circumferences, volumes or radii of a various geometric shapes with any 2 known variables.



and the paper label that wraps around the middle. If you use the traditional equation for a rectangular prism, where  Since the length of an edge is a, the area of one square is a × a = a 2 Since there are six sides, the total surface area, call it SA, can be found as shown below: SA = a 2 + a 2 + a 2 + a 2 + a 2 + a 2 So the volume of the cube would be 27 cubic inches.

Deb Russell is a school principal and teacher with over 25 years of experience teaching mathematics at all levels. areas of all the parts needed to cover the can. flat it will be a rectangle.

for area of a circle (The side is like the label of the can. we know that the top and bottom are the same, the front and back are the So This means that each of the cube's six faces is a square. side 2 is the surface of one of the sides, and since the cube has 6 equal sides, multiplying by 6 gives us the total cube surface area. The total surface area is therefore six times the area of one face. Looking at the cube template, it is easy to see that the cube has six sides and each side is a square. Before working to find the area of a cube, it's helpful to review how to find the surface area of a rectangular prism because a cube is a special type of rectangular prism. A rectangle in three dimensions becomes a rectangular prism. Scroll down the page for more examples and solutions of finding the surface area of a cube. same, and the left and right sides are the same. Because you are working with a cube, there are certain specific geometric relationships. The surface area is the

the area of the rectangle is (2 Add those two parts together and you have the formula for the surface
perimeter of the circle, since the label wraps once around the can. The surface area of a cube can be calculated by summing the total areas of its six square faces: SA = 6a 2 where a is edge length Anne wants to give her younger brother a Rubik's cube for his birthday, but knows that her brother has a short attention span and is easily frustrated. cover it. To see how this would work out with a number, suppose that  Surface Area = 2(Area of top) + (perimeter of top)* height For example - to find the surface area of a cube with sides of 5 inches, Surface area of a box

You can find the area of the top (or the bottom). These formulas will allow you to find the surface area of a cube, as well as its volume and geometric relationships within the shape. In words, the surface area of a cube is the area of the six squares that Surface Area of a Cube = 6 a 2 (a is the length of the side of each edge of the cube) In words, the surface area of a cube is the area of the six squares that cover it. This figure actually gives you the formula for the volume of a rectangular prism: Either way, finding the surface area and the volume require the same formulas. When all sides are of equal dimensions, it becomes a cube. Using the formula to determine the volume, you would have:

Surface area of a cube The surface area formula for a cube is 6 x side2, as seen in the figure below: This calculation requires only one measurement, due to the symetricity of the cube.

One side is the height of the can, the other side is the Surface Area = Lateral area + Area of two ends area of a cylinder.

A cube has six sides and the surface area is the sum of the area of all of the sides. the equation is: In the pictured example, the sides of the cube are represented as  Online calculators and formulas for a surface area and other geometry problems.

How to find the surface area of a cube Recall that a cube has all edges the same length (See Cube definition). This means that the surface area is six (the number of sides of the cube) times the product of  The following figure shows the surface area of a cube. By using ThoughtCo, you accept our In words, the easiest way is to think of a can. If you were to assign each of the variables with a number, you might have: These equations will give you correct answers if you keep the units straight. The area of one of them is a*a, or aIn words, the surface area of a rectangular prism is the area of the six You also know that because the figure is a cube, the area of each of the six sides will be the same. Surface Area = Areas of top and bottom +Area of the side The area of a rectangle is the product of rectangles that cover it. If s is the length of one of its sides, then the area of one face of the cube is s2. the two sides. Normally, to find the surface area or volume of a rectangular prism, you need to work with a length, width, and height that are all different. ThoughtCo uses cookies to provide you with a great user experience.

Calculator online for a the surface area of a capsule, cone, conical frustum, cube, cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere, or spherical cap. Recall that this is because all of the sides of a cube have the same measurement. But with a cube, you can take advantage of the fact that all sides are equal to easily calculate its geometry and find the area.


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