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Nets of Rectangular Prisms

Nets of Rectangular Prisms. Prisms. A prism is a solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram. Rectangular Prism. Cube. Triangular Prism. Triangular Prism. Surface Area.

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Nets of Rectangular Prisms

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  1. Nets of Rectangular Prisms

  2. Prisms • A prism is a solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram. Rectangular Prism Cube Triangular Prism Triangular Prism

  3. Surface Area • Surface area is the sum of all the exterior areas. • Think of it like wrapping paper. How much would it take to cover the entire shape?

  4. Nets • To find the surface area, we can break the three-dimensional shape up into two-dimensional parts. This representation is called a net.

  5. Creating a Net • To create a net, you must first examine the figure you are trying to deconstruct. • How many faces (sides) does it have? • What are the measurements of each side? • Are any of these faces (sides) congruent?

  6. Let’s Look at a Cube • All of the sides are congruent which tells us that all of the faces are congruent. • There are six faces • Find the area of one face and multiply by 6 (the number of faces) 3 3 9 un² 3 3 3 3 3 nits 3 3 9 un² 3 9 un² 3 9 un² 3 9 un² 3 3 3 3 3 3 3 3 3 9 un² 3

  7. Draw a net for the cube and label the side lengths 5 5 5

  8. Draw a net for the cube and label the side lengths 5 5 5 5 5 nits 5 5 5 5 5

  9. Find the Surface Area 5 5 5 5 5 nits 5 5 5 5 5

  10. Draw a net for the cube and label the side lengths 5 5 25 un² 5 5 5 nits 5 25 un² 25 un² 25 un² 25 un² 5 5 25 un² 5 5 Surface Area = 150 units squared

  11. Cubes are easy, let’s look at a rectangular prism • A rectangular prism has 3 pairs of congruent faces: • Top and bottom • Front and back • Left and right

  12. Net of a Rectangular Prism This is one of many ways the net can be drawn.

  13. Draw Your Own Net and Label the Side Lengths 4 10 10 4 13 13 13 13 4 10 10 4

  14. Draw Your Own Net and Label the Side Lengths 13 4 4 13 10 10 4 4 13 10 10 4 10 13

  15. Find the Surface Area 13 4 4 13 10 10 4 4 13 10 10 4 10 13

  16. Find the Surface Area 13 4 52 un² 4 10 130 un² 13 10 10 4 40 un² 40 un² 4 52 un² 13 10 10 10 130 un² 4 10 13

  17. Another Top Bottom Front Back Left Right 5 4 8 Surface Area =

  18. Another Top Bottom Front Back Left Right 7 11 3 Surface Area =

  19. Closure: With a partner draw a net and calculate the surface area Top Bottom Front Back Left Right 4 13 5 Surface Area =

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