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.
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.
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
A rectangular prism or cuboid is formed by folding a net as shown:
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 cm2How to find the surface area of a rectangular prism when its net is given?
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