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Surface Area of Solids using Nets




 
In these lessons, we will look at using nets to calculate the surface area of a cube, rectangular prism or cuboid, triangular prism, cylinder, pyramid and cone.

Related Topics: More Geometry Lessons

Nets of a Solid

A net is a pattern made when the surface of a three-dimensional figure or solid is laid out flat showing each face of the figure. It is then possible to use the net to calculate the surface area of the solid.

Surface Area of a Cube using Nets

A cube is a three-dimensional figure with six matching square faces.

The following nets can be folded along the dotted lines to form a cube.

net of cube

For example, if the length of one side of the cube 3 units then the area of one its face is 3 × 3 = 9 units2. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 9 = 54 units2


Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown:

cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

How to find the surface area of a rectangular prism when its net is given? How to find the surface area of a rectangular prism using nets?



Surface Area of a Triangular Prism using Nets

How to find the surface area of a triangular prism using nets? How to calculate the surface area of a triangular prism by first drawing a net for the prism?

Surface Area of a Cylinder using Nets

How to find the surface area of a cylinder by drawing the net?

Surface Area of a Pyramid using Nets

How to find the surface area of a pyramid and a cylinder by drawing the nets?


 

Surface Area of a Hexagonal Prism using Nets

How to find the surface area of a hexagonal prism by drawing a net?

Surface Area of a Cone

How to find the surface area and volume of a right circular cone?

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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