Thursday, July 24, 2014

Surface Area of 3-D (Three-Dimensional) Shapes

What is Surface Area?

The surface area is the total area of the shapes in a solid shape that cover the surface of the solid shape. 

In order to calculate the surface area of a 3-dimensional Shape, you need to first individually calculate the area of all the shapes in the 3-D shape, and then add them together to get the surface area. 

Surface Area of 3-D Shapes

Let's say that we have a cube which is a 3-D shape. In order to find the surface area of this solid, we need to first find out the measurements.

 Measurements of this cube are: base= 13 inches height= 13 inches

Note: All the sides of the cube are equal. So, we only need to find the area of one shape, and then multiply it by 6 since a cube has 6 faces.

In order to find the area of one shape we have to multiply b x h because the shape is a square.

13 x 13 = 169

That means the area of one square is 169 inches ^2 (to the power of 2).
Now all we have to do is multiply our answer by 6.

169 x 6 = 1,014

The Surface Area of the Cube equals 1,014 inches^2 (to the power of 2).

Sheet 1 What are 3 Dimensional Shapes

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